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25% Requirement: Solve This Mathematics Word Problem - Education - Nairaland

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25% In FCT: Exam Question From ABU, Zaria Law Faculty / Solve This Mathematics Word Problem / Where Did This Mathematics Go Wrong? (2) (3) (4)

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25% Requirement: Solve This Mathematics Word Problem by Obinoscopy(m): 1:50pm On Apr 17, 2023
1. A recruiting firm advertised for a job and people from 36 States and a Territory applied. The recruiting firm was tasked to recruit at least 25% of people from at least two thirds of the States and the Territory. If there are 100 people in each of the States and 120 people from the Territory, what's the minimum number of people the firm should at least employ?

A. 600
B. 620
C. 625
D. 630
E. None of the Above

2. In addition to the requirements above, the recruiting firm was told the Territory is also to be considered as a State. Thus the requirement reads thus: recruit at least 25% of people from at least two thirds of the States and the Territory. And the Territory is to be considered a State. What's the minimum number of people the firm should at least employ?

A. 600
B. 620
C. 625
D. 630
E. None of the Above


Please show your workings. Anyone who shows very clear workings and gets the answer has solved the 25% electoral requirement quagmire that is confusing many people.

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Re: 25% Requirement: Solve This Mathematics Word Problem by ShowYourCertificate: 2:02pm On Apr 17, 2023
The answer is very simple:

Let the States be S and the Territory be t.

Thus the requirement is: A quarter of two thirds of S AND a quarter of t

You have 36 States (from at least 24 of which appliers are chosen) as well as 1 territory where to recruit its quarter from. Here, the firm recruits 25 appliers from each of the 24 States, AND 30 appliers from the territory, which is a total of 630
appliers.

The formula here is [(23×36)×(14×100)]+(14×120)=[(24×25)]+30

=630 appliers. QED

The second question doesn't change my answer. This is because even if the Territory is considered a State. The AND in the requirement has it compulsory that 25% must be recruited from that "State".

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Re: 25% Requirement: Solve This Mathematics Word Problem by Feintline: 2:31pm On Apr 17, 2023
Constitutionally, we do not have a president elect.

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Re: 25% Requirement: Solve This Mathematics Word Problem by Obinoscopy(m): 6:02pm On Apr 17, 2023
Feintline:
Constitutionally, we do not have a president elect.
Can you solve the problem?

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Re: 25% Requirement: Solve This Mathematics Word Problem by rtdCivilservant: 6:02pm On Apr 17, 2023
I believe u brought this cos of the confused interpretation by some on what the electoral law stipulates. From what u posted, it is obvious the territory is not a state, if it were a state u would have have correctly said 37 states... Why do we allow simple English to get us confused?
For example, let's use a class of 9 boys and 1 girl. I may say for u to emerge the class-rep, two-thirds of the 9 boys and the girl must be willing to give u half portions of their daily meal. Now this does not mean that for anyone to emerge, they must get two-third of half the daily meals of the 9 boys and half the daily meal of the only girl. A girl is not a boy, so u don't expect me to say 10 boys, that is where the AND comes in. The right interpretation be same as if I assume the only girl is a boy and say two-third of 10 boys or two-thirds of the 10 students. In the case of our country, "AND" there shouldn't confuse anyone, it is only so cos FCT is not a state and that is the only way of accommodating the entity (FCT) into the grammatical expression.

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Re: 25% Requirement: Solve This Mathematics Word Problem by Obinoscopy(m): 8:06pm On Apr 17, 2023
rtdCivilservant:
I believe u brought this cos of the confused interpretation by some on what the electoral law stipulates. From what u posted, it is obvious the territory is not a state, if it were a state u would have have correctly said 37 states... Why do we allow simple English to get us confused?
For example, let's use a class of 9 boys and 1 girl. I may say for u to emerge the class-rep, two-thirds of the 9 boys and the girl must be willing to give u half portions of their daily meal. Now this does not mean that for anyone to emerge, they must get two-third of half the daily meals of the 9 boys and half the daily meal of the only girl. A girl is not a boy, so u don't expect me to say 10 boys, that is where the AND comes in. The right interpretation be same as if I assume the only girl is a boy and say two-third of 10 boys or two-thirds of the 10 students. In the case of our country, "AND" there shouldn't confuse anyone, it is only so cos FCT is not a state and that is the only way of accommodating the entity (FCT) into the grammatical expression.
So what's the answer to the question?

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Re: 25% Requirement: Solve This Mathematics Word Problem by rtdCivilservant: 9:33pm On Apr 17, 2023
Obinoscopy:
So what's the answer to the question?
For anyone to be declared winner it is not mandatory that the candidate must score 25% of the votes cast in Abuja(FCT) provided the candidate is able to ganer 25% of the total of 37 entities.

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Re: 25% Requirement: Solve This Mathematics Word Problem by WesternPanzer: 11:30pm On Apr 17, 2023
No need of speaking long grammar. I have another formular albeit more straight forward.

(A) To gain admission to UNIZIK, a candidate must score at least C in 6 subjects including Mathematics and English. Even if you scored As in 9 subjects but had Fs in English and Maths, you have failed automatically.

The Admissions board by this demand confers special status on Mathematics and English even though they are still "subjects" like others.

By implication, same situation applies to the 25% requirement in my opinion.

The Constitution by that section granted Special Status to Abuja as the Federal Capital Territory even though it may still be interpreted as a State.

As long as Tinubu did not score 25% in Abuja, he is an illegal President Elect based on the constitution. Reason most world leaders are not congratulating him.

This is also why Datti Ahmed said that swearing in Tinubu will be an assault on Nigeria's Democracy because doing so would be unconstitutional.

But what do I know? Nigeria has always been a huge crime scene where the highest criminals gets their way. Know this and know peace.

N.B
One reminder to those quoting me. Lets not also Forget that The So called President elect forfeited 460,000 dollars in money related to drug crimes. Do you honestly believe that if he didnt know he will be convicted, he will forfeit that money? undecided undecided

The Tinubu I know as a Sly Fox is well aware that the US authorities have damning evidence against him and pursuing "Not Guilty" will nail him to the Cross of Chicago. Reason he forfeited. Make no mistakes about this.

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Re: 25% Requirement: Solve This Mathematics Word Problem by PlayerMeji: 1:16am On Apr 18, 2023
Tinubu has at least 4 years as your president..if you like use calculus dey solve linear equation...

yeye...

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Re: 25% Requirement: Solve This Mathematics Word Problem by DesChyko: 10:25am On Apr 18, 2023
rtdCivilservant:

For anyone to be declared winner it is not mandatory that the candidate must score 25% of the votes cast in Abuja(FCT) provided the candidate is able to ganer 25% of the total of 37 entities.

So what's the answer to the question?

8 Likes 1 Share

Re: 25% Requirement: Solve This Mathematics Word Problem by TinubuShet(m): 12:56pm On Apr 18, 2023
To recruit at least 25% of people from at least two thirds of the States and the Territory, we need to find out how many States and the Territory meet this requirement.
There are 36 States and 1 Territory, so we need to check if at least 2/3 of them (i.e., 24 States and the Territory) have at least 25% of their population applying for the job.

For the Territory, we have 120 applicants, which is more than 25% of its population (since there are 100 people in each State).

For the States, we have a total of 36 x 100 = 3600 people, and we need at least 24 States to have at least 25% of their population applying for the job.

25% of 100 people is 25 people, so each State needs at least 25 applicants.

If we assume that 24 States have 25 applicants each, that would give us a total of 24 x 25 = 600 applicants from the States.

Adding the 120 applicants from the Territory, we get a total of 720 applicants.

However, we need to make sure that at least 24 States meet the requirement. If we assume that the 24 States with the lowest number of applicants each have only 24 applicants, then the total number of applicants from the States would be 24 x 24 + 12 x 25 = 708.

Adding the 120 applicants from the Territory, we get a total of 828 applicants.

Since we want to minimize the number of people the firm should employ, we choose the lower number, which is 708.

Therefore, the answer is B. 620.

If we consider the Territory as a State, then we have a total of 37 States.
We still need to have at least 24 States meeting the requirement of at least 25% of their population applying for the job.

25% of 100 people is 25 people, so each State needs at least 25 applicants.

If we assume that 23 States have 25 applicants each, that would give us a total of 23 x 25 = 575 applicants from the States.

For the Territory, we have 120 applicants, which is more than 25% of its population.

Adding the 575 applicants from the States and the 120 applicants from the Territory, we get a total of 695 applicants.

However, we still need at least one more State to meet the requirement.

If we assume that the 24th State has only 24 applicants, then the total number of applicants from the States would be 24 x 24 + 22 x 25 = 648.

Adding the 120 applicants from the Territory, we get a total of 768 applicants.

Since we want to minimize the number of people the firm should employ, we choose the lower number, which is 695.

Therefore, the answer is still B. 620.

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Re: 25% Requirement: Solve This Mathematics Word Problem by Obinoscopy(m): 11:40am On Apr 19, 2023
TinubuShet:


To recruit at least 25% of people from at least two thirds of the States and the Territory, we need to find out how many States and the Territory meet this requirement.
There are 36 States and 1 Territory, so we need to check if at least 2/3 of them (i.e., 24 States and the Territory) have at least 25% of their population applying for the job.

For the Territory, we have 120 applicants, which is more than 25% of its population (since there are 100 people in each State).

For the States, we have a total of 36 x 100 = 3600 people, and we need at least 24 States to have at least 25% of their population applying for the job.

25% of 100 people is 25 people, so each State needs at least 25 applicants.

If we assume that 24 States have 25 applicants each, that would give us a total of 24 x 25 = 600 applicants from the States.

Adding the 120 applicants from the Territory, we get a total of 720 applicants.

However, we need to make sure that at least 24 States meet the requirement. If we assume that the 24 States with the lowest number of applicants each have only 24 applicants, then the total number of applicants from the States would be 24 x 24 + 12 x 25 = 708.

Adding the 120 applicants from the Territory, we get a total of 828 applicants.

Since we want to minimize the number of people the firm should employ, we choose the lower number, which is 708.

Therefore, the answer is B. 620
.

If we consider the Territory as a State, then we have a total of 37 States.
We still need to have at least 24 States meeting the requirement of at least 25% of their population applying for the job.

25% of 100 people is 25 people, so each State needs at least 25 applicants.

If we assume that 23 States have 25 applicants each, that would give us a total of 23 x 25 = 575 applicants from the States.

For the Territory, we have 120 applicants, which is more than 25% of its population.

Adding the 575 applicants from the States and the 120 applicants from the Territory, we get a total of 695 applicants
.

However, we still need at least one more State to meet the requirement.

If we assume that the 24th State has only 24 applicants, then the total number of applicants from the States would be 24 x 24 + 22 x 25 = 648.

Adding the 120 applicants from the Territory, we get a total of 768 applicants
.

Since we want to minimize the number of people the firm should employ, we choose the lower number, which is 695.

Therefore, the answer is still B. 620
.

Thanks for your solution.

However I'm confused on some of your workings and how you got to the answer. Please clarify further.

Also i noticed you got numbers like 708 and 695 but you still chose B (620) as your answer instead of E (none of the above). Can you explain?

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Re: 25% Requirement: Solve This Mathematics Word Problem by Obinoscopy(m): 1:22pm On Apr 19, 2023
My solution:

Let's designate States as X and Territory as Y.

There are 36 X and 1 Y. Thus two-thirds of X is 24 and two-thirds of Y is 2/3Y.

Thus 25% will be 25% of (24X + 2/3Y)

But X = 100 and Y = 120. Therefore the answer becomes:
25% of [24 × 100 + 2/3 × 120]
= 0.25 [2400 + 80]
= 0.25 [2480]
= 620

However, the another school of thought believe the answer will be 630. And their solution would be thus:
Two thirds only applies to the States and not the Territory. Thus the answer becomes:
25% of [24 × 100 + 120]
= 0.25 [2400 + 120]
= 0.25 [2520]
= 630

Another school of thought believe the answer will be 625. And this is the answer Tinubu supporters will go with. Their solution is thus:

There are two possible scenarios: one where the Territory is part of the two-thirds OR one who it isn't.
First scenario: 25% of [24 × 100 + 120]
= 0.25 [2400 + 120]
= 0.25 [2520]
= 630

Second scenario: 25% of [25 × 100]
= 0.25 [2500]
= 625

Thus we have two possible answers but the least of them is 625. So the answer is 625.

17 Likes 3 Shares

Re: 25% Requirement: Solve This Mathematics Word Problem by Obinoscopy(m): 4:34pm On Apr 19, 2023
Here is the answer given by a mathematician with Stack Exchange in the link below:

https://math.stackexchange.com/questions/4680653/word-problem-minimum-number-of-hires

The screenshot is attached herewith.

4 Likes

Re: 25% Requirement: Solve This Mathematics Word Problem by Obinoscopy(m): 7:29pm On Apr 19, 2023
And here is the answer provided by ChatGPT:

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Re: 25% Requirement: Solve This Mathematics Word Problem by ManWater: 8:54pm On Apr 19, 2023
Re: 25% Requirement: Solve This Mathematics Word Problem by abobote: 8:54pm On Apr 19, 2023
3
Re: 25% Requirement: Solve This Mathematics Word Problem by Felabrity: 8:55pm On Apr 19, 2023
This one dey confused himself

You never tell us when Federal capital become state

13 Likes

Re: 25% Requirement: Solve This Mathematics Word Problem by Nobody: 8:56pm On Apr 19, 2023
grin grin grin grin
Re: 25% Requirement: Solve This Mathematics Word Problem by iCauseTrouble: 8:56pm On Apr 19, 2023
grin
Re: 25% Requirement: Solve This Mathematics Word Problem by flokii: 8:56pm On Apr 19, 2023
Stop wasting your time.. No court will declare someone in distant third position winner when the person that took first and got required constitutional spread is there... What is so special about the FCT if I may ask? Are the residents in the FCT more Nigerian than those in Kwara, Osun and likes? Answer is capital NO.

In a 100m race for example.. have you ever seen the athlete that took third declared winner over the ones in first and second position? Never!
Such illegality will never happen in Nigeria. Asiwaju Tinubu is president-elect whether you like it or not.

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Re: 25% Requirement: Solve This Mathematics Word Problem by seanwilliam(m): 8:56pm On Apr 19, 2023
Who’s going to be sworn in on 29th of may ?

Like for Peter obi share for tinubu

62 Likes 38 Shares

Re: 25% Requirement: Solve This Mathematics Word Problem by nairalee(m): 8:56pm On Apr 19, 2023
My final answer is this: TINUBU DOES NOT QUALIFY TO BE THE PRESIDENT OF NIGERIA

27 Likes

Re: 25% Requirement: Solve This Mathematics Word Problem by Nyne: 8:57pm On Apr 19, 2023
Obinoscopy:
1. A recruiting firm advertised for a job and people from 36 States and a Territory applied. The recruiting firm was tasked to recruit at least 25% of people from at least two thirds of the States and the Territory. If there are 100 people in each of the States and 120 people from the Territory, what's the minimum number of people the firm should at least employ?

A. 600
B. 620
C. 625
D. 630
E. None of the Above

2. In addition to the requirements above, the recruiting firm was told the Territory is also to be considered as a State. Thus the requirement reads thus: recruit at least 25% of people from at least two thirds of the States and the Territory. And the Territory is to be considered a State. What's the minimum number of people the firm should at least employ?

A. 600
B. 620
C. 625
D. 630
E. None of the Above


Please show your workings. Anyone who shows very clear workings and gets the answer has solved the 25% electoral requirement quagmire that is confusing many people.

G
Re: 25% Requirement: Solve This Mathematics Word Problem by agos: 8:57pm On Apr 19, 2023
620
Re: 25% Requirement: Solve This Mathematics Word Problem by omoadeleye(m): 8:58pm On Apr 19, 2023
100 people in 36 states equals 3,600 people. While
120 people in FCT equals 120 people.

2/3 of 3600 = 2,400 people
2/3 od 120 = 80 people

25% minimum recruitment

25% of 2400 = 600 people
25% of 80 = 20 people

Since the firm was tasked to recruit 25% from the 36 states and The FCT...

Will now be 600 + 20 =620

So 620 people will be recruited from the 36 states and the fct.

So the answer is
1 - B

Is still 620.
2 - B

4 Likes

Re: 25% Requirement: Solve This Mathematics Word Problem by NaijaMutant(f): 8:58pm On Apr 19, 2023
Let the fire works begin grin grin grin

3 Likes

Re: 25% Requirement: Solve This Mathematics Word Problem by SafariHunter(m): 9:00pm On Apr 19, 2023
The first step to solving this problem is to figure out which States and Territory constitute at least two thirds of the total number of States and Territory.

Since there are 36 States and a Territory, two thirds of that is (2/3) x 37 = 24.67. Since we can't have a fraction of a State or Territory, we round up to 25. Therefore, we need to recruit at least 25 States and the Territory.

The next step is to calculate how many people that represents. We know that there are 100 people in each of the 36 States, which gives us a total of 3,600 people. We also know that there are 120 people in the Territory.

So the total number of people we need to recruit from these 25 States and the Territory is at least 25% of 3,600 + 120, which is:

0.25 x (3,600 + 120) = 930

Therefore, the recruiting firm should employ at least 930 people to meet the requirement of recruiting at least 25% of people from at least two thirds of the States and the Territory.

1 Like

Re: 25% Requirement: Solve This Mathematics Word Problem by hakeem4(m): 9:00pm On Apr 19, 2023
1) 630
((36*100)*2/3*.25 )+(120*.25) = 630

2)620 people
(36* 100)+(120) = 3720 people
25% of the people in 2/3 = .25*2/3 * 3720 == 620

2 Likes

Re: 25% Requirement: Solve This Mathematics Word Problem by occfx: 9:00pm On Apr 19, 2023
Obinoscopy:
1. A recruiting firm advertised for a job and people from 36 States and a Territory applied. The recruiting firm was tasked to recruit at least 25% of people from at least two thirds of the States and the Territory. If there are 100 people in each of the States and 120 people from the Territory, what's the minimum number of people the firm should at least employ?

A. 600
B. 620
C. 625
D. 630
E. None of the Above

2. In addition to the requirements above, the recruiting firm was told the Territory is also to be considered as a State. Thus the requirement reads thus: recruit at least 25% of people from at least two thirds of the States and the Territory. And the Territory is to be considered a State. What's the minimum number of people the firm should at least employ?

A. 600
B. 620
C. 625
D. 630
E. None of the Above


Please show your workings. Anyone who shows very clear workings and gets the answer has solved the 25% electoral requirement quagmire that is confusing many people.

I thought you have an offer... So you expect me to start cracking my brain for Yekini from Guinea? I no get that time

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