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Question

Answer

children at a Children’s Day party —
girls : 100u
boys : 100p

100u + 100p ——- 350

participants in a fancy dress competition —
girls : 20u
boys : 25p

20u + 25p ——- 80
80u + 100p ——- 320
20u ——- 30
100u – 20u = 80u ——- 120

Ans : 120 girls.

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Here’s my way to explain the problem:

Let no. Boys be B and no. Girls be G

B + G = 350 (A)

1/5 G + 1/4 B = 80(B)

This is an alternative form of equation B called B*:

G + 5/4B = 400(B*)

If solve the equations A and B* simultaneously B* – A, we get:

1/4 B = 50

Comparing with equation A, 1/5 G = 30

since we have 1/5G = 30 and 1/4 B = 50

G = 150 and B = 200

150 – 30 = 120

120 girls did not attend.

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