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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?

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Answer:

Number of volleyballs bought = 8

Number of basketballs bought = 11

Step-by-step 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

[tex]\frac{20.80x}{20.80}=\frac{166.40}{20.80}\\x=8[/tex]

Putting x=8 in Eqn 1

y = 8+3 = 11

Hence,

Number of volleyballs bought = 8

Number of basketballs bought = 11

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