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.
[tex]F=5V[/tex]......(1)
They brought in a total of $3750 that day,
[tex]35F+25B+15V=3750[/tex]......(2)
The money made from basketballs alone was 4 times the money.
[tex]25B=4(15V)[/tex]......(3)
By equation 1, 2 and 3.
[tex]35(5V)+4(15V)+15V=3750[/tex]
[tex]250V=3750[/tex]
[tex]V=15[/tex]
Substitute the value of V in equation 1 and 3.
[tex]F=5(15)=75[/tex]
[tex]25B=4(15\times 15)\\B=36[/tex]
Hence, the number of footballs, basketballs and volleyballs were sold are 75, 36 and 15 respectively.
