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 Post subject: question help
PostPosted: Mon Oct 26, 2020 6:14 pm 
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Joined: Fri Jul 14, 2017 11:41 am
Posts: 50
Location: London
hi, anyone able to help with this question?
65% of juniors wear uniform.
35% seniors wear uniform.
43% of whole school wear uniform
what percentage of whole school are juniors?
thanks!


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 Post subject: Re: question help
PostPosted: Mon Oct 26, 2020 7:07 pm 
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Joined: Mon Feb 12, 2007 2:21 pm
Posts: 16254
Where did you get this question?


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 Post subject: Re: question help
PostPosted: Tue Oct 27, 2020 6:27 pm 
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Joined: Fri Mar 17, 2006 6:12 pm
Posts: 1495
Location: Birmingham
Sounds like an advanced final question for Independent 11+ schools which is more easily solved using algebra; this shouldn't be in state school 11+ exams

viz. If you let y be the total school population and,
x be the junior population, then (y-x) is the senior population.

Using algebra write down expressions for the information provided.

You then need to re-arrange this expression to give (x/y) x 100 = which is the percentage of junior pupils in the school.

I think the answer works out at 26.67%


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 Post subject: Re: question help
PostPosted: Tue Oct 27, 2020 8:29 pm 
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Joined: Mon Feb 12, 2007 2:21 pm
Posts: 16254
I needed algebra too - hence my question.

I tackled it slightly differently but agree on the answer 26.67% [to 2 dp]


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 Post subject: Re: question help
PostPosted: Sun Nov 08, 2020 11:35 am 
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Joined: Tue Feb 28, 2017 10:37 am
Posts: 71
Decisiontime639 wrote:
hi, anyone able to help with this question?
65% of juniors wear uniform.
35% seniors wear uniform.
43% of whole school wear uniform
what percentage of whole school are juniors?
thanks!


35% of the juniors + 35% of the seniors = 35% of the whole school

so 30% of the junior (65%-35%) is the same as 8% of the whole school

hence number of students in the whole school is 30/8 times the number in the juniors

or the juniors are 8/30=26.67% of the whole school


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 Post subject: Re: question help
PostPosted: Wed Nov 11, 2020 4:12 pm 
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Joined: Fri Mar 10, 2017 5:06 pm
Posts: 682
I used simultaneous equations (j= no of juniors, s = no of seniors, t = total number of pupils)

j + s = t (1)
0.65j + 0.35s = 0.43t (2)

(1) * 0.35 -> 0.35j + 0.35s = 0.35t (3)

(2) - (3) -> 0.3j = 0.08t

j = 0.08/0.3 t
j = 0.267t


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