There are more pupils in School A than School B. 30% of the pupils in School A is 45 more than 40% of the pupils in School B, If 10% of the pupils in School A leaves to join School B, there will be 200 more pupils in School A than School B. (a) How many pupils are there in School B? (b) How many percent less pupils are there in School B than School A? Leave your answer as fraction in the simplest form.[5 marks][Answer given: 1200, 31 3/7%]
3 A --> 4 B + 45
24 A --> 32 B + 8 x 45 = 32 B + 360
9 A --> 10 B + 1 A + 200
8 A --> 10 B + 200
24 A --> 30 B + 3 x 200 = 30 B + 600
32 B + 360 --> 30 B + 600
2 B --> 600 - 360 = 240
10 B --> 5 x 240 = 1200 pupils
a) It was 1200 pupils.
3 A --> 2 x 240 + 45 = 525
10 A --> 10/3 x 525 = 1750
1750 - 1200 = 550
550/1750 x 100% = 31 3/7%
b) It 31 3/7% less.
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Can you help to provide more notes.
ReplyDeleteHow is 3A ---> 4B + 45
Thank you in advance
Number of pupils in School A = 10 A (100%)
ReplyDeleteNumber of pupils in School B = 10 B (100%)
Since 30% of the pupils in School A is 45 more than 40% of the pupils in School B
, so
3 A --> 4 B + 20