Question

Dhanraj spent $204.20 purchasing volleyballs and basketballs.

He bought 3 more basketballs than volleyballs. If each volleyball cost $8.20 and each basketball cost $12.60, how many of each type did he buy?

Answer 1

Number of volleyballs bought = 8

Number of basketballs bought = 11

Explanation:

Given that:

Total amount spent = $204.20

Let,

x be the number of volleyballs

y be the number of basketballs

According to given statement;

y = x+3 Eqn 1

8.20x+12.60y=204.20 Eqn 2

Putting value of y from Eqn 1 in Eqn 2

8.20x + 12.60(x+3) = 204.20

8.20x + 12.60x + 37.80 = 204.20

20.80x = 204.20 - 37.80

20.80x = 166.40

Dividing both sides by 20.80

`(20.80x)/(20.80)=(166.40)/(20.80)\\x=8`

Putting x=8 in Eqn 1

y = 8+3 = 11

Hence,

Number of volleyballs bought = 8

Number of basketballs bought = 11