Question

DONATION A sports store donates basketballs and soccerballs to the boys and girls club. The ratio of basketballs tosoccer balls is 7 : 6. The store donates 24 soccer balls. Howmany basketballs does the store donate?

Answer 1

Answer: 28 basketballs

Work Shown

x = number of basketballs

x/24 = 7/6

6x = 24*7

x = 24*7/6

x = 28

Another approach

Ratio of basketballs to soccer balls is 7:6. It scales up to 7n:6n for some positive whole number n. There are 7n basketballs and 6n soccer balls.

The store donated 24 soccer balls, so 6n = 24 leads to n = 4. Then we determine there must be 7n = 7*4 = 28 basketballs.