Question

Ben bought 4 volleyballs and 5 footballs for $352.65 altogether. If Ben’s brother bought 2 volleyballs and 4 footballs for $249.12 altogether, what was the price of each football?

Answer 1

$48.53

Explanation:

The purchases can be written in equation form as ...

4v +5f = 352.65

2v +4f = 249.12

Doubling the second equation and subtracting the first gives ...

2(2v +4f) -(4v +5f) = 2(249.12) -(352.65)

3f = 145.59 . . . . simplify

f = 48.53 . . . . . . divide by 3

The price of each football was $48.53.