How many footballs, basketballs and volleyballs were sold?

Question

a store sells footballs, basketballs, and volleyballs. Football costs $35, Basketball costs $25 and volleyballs $15. One day the store sold 5 times as many footballs as volleyballs. They brought in a total of $3750 that day and the money made from basketballs alone was 4 times the money made from volleyballs alone.

Answer 1

number of football sold = x

number of basketball sold = y

number of volleyball sold = z

 

35x+25y +15z = 3750   ----------eq 1

 

One day the store sold 5 times as many footballs as volleyballs

x = 5z                          ------------ eq 2

 

the money made from basketballs alone was 4 times the money made from volleyballs alone

25y = (15*4)z 

 

25y = 60z                ---------------eq 3

 

35x+25y +15z = 3750

35(5z) +25y +15z =3750  ---------------from eq 2 ( x=5z)

175z +25y +15z =3750

 

190 z +25y =3750  -----------eq 4

190z + 60z  =3750  --------------------from eq 3(25 y =60z)

 

250z = 3750

 

z = 15

 

x = 5z =5(15)=75

 

25y = 60z

 

25y=60(15)

 

25 y = 900

 

y = 36

 

number of football sold = x =75
number of basketball sold = y =36
number of volleyball sold = z = 15