Boys and Girls in Class

The class has 24 pupils, with 40% fewer boys than girls. How many boys and girls are in the class?

Final Answer:

c =  9
d =  15

Step-by-step explanation:


c+d=24
c = d - 40/100 d

c+d=24
c = d - 40/100·d

c+d = 24
100c-60d = 0

Pivot: Row 1 ↔ Row 2
100c-60d = 0
c+d = 24

Row 2 - 1/100 · Row 1 → Row 2
100c-60d = 0
1.6d = 24


d = 24/1.6 = 15
c = 0+60d/100 = 0+60 · 15/100 = 9

c = 9
d = 15

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