Question

in a class of 60students each boy contributed rupees equal to the number of girls and each girl contributed rupees equal to the number of boys if total money then collected was 1600then find number of boys

Answer 1

Define x:

Let the number of girls = x

The number of boys = 60 - x

Solve x:

Total amount collected = Rs 1600

x(60 - x) + (60 - x)x = 1600

60x - x² + 60x - x² = 1600

2x² - 120x + 1600 = 0

x² - 60x + 800 = 0

(x - 20)(x - 40) = 0

x = 20 or x = 40

Find the number of boys:

If x = 20,

Girls = x = 20

Boys = 60 - x = 60 - 20 = 40

If x = 40

Girls = x = 40

Boys = 60 - 40 = 20

Answer: There are either 20 boys and 40 girls or 40 boys and 20 girls