Question

A sporting goods stores sells footballs, basketballs, and volleyballs. A football costs $35, a basketball costs

Answer 1

Answer:

The number of footballs, basketballs and volleyballs were sold are 75, 36 and 15 respectively.

Step-by-step explanation:

Consider the provided information.

A football costs $35, a basketball costs $25  and a volleyball costs $15.

Let F represents the football, B represents the basketball and V represents the volleyball.

On a given day, the store sold 5 times as many footballs as volleyballs.

$F=5V$......(1)

They  brought in a total of $3750 that day,

$35F+25B+15V=3750$......(2)

The money made from basketballs alone was 4 times the money.

$25B=4(15V)$......(3)

By equation 1, 2 and 3.

$35(5V)+4(15V)+15V=3750$

$250V=3750$

$V=15$

Substitute the value of V in equation 1 and 3.

$F=5(15)=75$

$25B=4(15\times 15)\\B=36$

Hence, the number of footballs, basketballs and volleyballs were sold are 75, 36 and 15 respectively.