question help
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question help
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!
65% of juniors wear uniform.
35% seniors wear uniform.
43% of whole school wear uniform
what percentage of whole school are juniors?
thanks!
Re: question help
Where did you get this question?
Re: question help
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%
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%
Re: question help
I needed algebra too - hence my question.
I tackled it slightly differently but agree on the answer 26.67% [to 2 dp]
I tackled it slightly differently but agree on the answer 26.67% [to 2 dp]
Re: question help
35% of the juniors + 35% of the seniors = 35% of the whole schoolDecisiontime639 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!
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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Re: question help
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
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