A group of 328 P5 children were divided into two teams at the P5 camp this year. There were 8 more children in Team B than in Team A. There were also 50% more boys in Team B than in Team A. If 3/8 of the girls were in Team B, (a) what percentage of the pupils in Team B are girls? (b) what percentage of the children are boys? Leave your answers as mixed numbers in the simplest form. [5 marks][Answers given: 28 and 4/7%, 60 and 40/41%]
328 + 8 = 336
336/2 = 168 -- Team B
328 - 168 = 160 -- Team A
A B
-----------------------------
B G B G
--------- ------------
2 : 3
5 : 3
-----------------------------
2 B + 5 G --> 160
6 B + 15 G --> 3 x 160 = 480
3 B + 3 G --> 168
6 B + 6 G --> 2 x 168 = 336
9 G --> 480 - 336 = 144
3 G --> 3/9 x 144 = 48
48/168 x 100% = 28 4/7%
a) It was 28 4/7%.
3 B --> 168 - 48 = 120
5 B --> 5/3 x 120 = 200
200/328 x 100% = 60 40/41%
b) It was 60 40/41%.
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