Question

Ten boys and twelve girls collected donations for a project. The total amount collected by the boys was N600.00 gretaer than that collected by the girls. If the average collection of the boys was N100.00 greater than the average collection of the girls, how much was collected by the two groups?​

Answer 1

x=12y...(1)

xb=x+60010=y+100

x+600=10(y+100)....(2)

Substitute 12y for x in (2) :

12y+600=10y+1000

12y−10y=1000−600

2y=400⟹y=200

From (1), x=12y

∴x=12×200=N2,400.

Thus, the girls collected N2,400

The boys collected N2,400 + N600 = N3000

Total = N(2,400 + 3,000) = N5,400