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question help https://www.elevenplusexams.co.uk/forum/11plus/viewtopic.php?f=2&t=61226 
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Author:  Decisiontime639 [ Mon Oct 26, 2020 6:14 pm ] 
Post subject:  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! 
Author:  Guest55 [ Mon Oct 26, 2020 7:07 pm ] 
Post subject:  Re: question help 
Where did you get this question? 
Author:  KenR [ Tue Oct 27, 2020 6:27 pm ] 
Post subject:  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 (yx) is the senior population. Using algebra write down expressions for the information provided. You then need to rearrange 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% 
Author:  Guest55 [ Tue Oct 27, 2020 8:29 pm ] 
Post subject:  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] 
Author:  Bluearrow [ Sun Nov 08, 2020 11:35 am ] 
Post subject:  Re: question help 
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 
Author:  Surferfish [ Wed Nov 11, 2020 4:12 pm ] 
Post subject:  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 
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