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The town recreation department ordered 100 balls and bats for the summer baseball camp. Balls cost $4.50 each, and bats cost $20. 00 each. They spent $822.00 . How many of each item, bats and balls, were purchased.

2 Answers

0 votes

Answer:

15

Explanation:

User Barry MSIH
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5 votes

Answer:

76 balls and 24 bats

Explanation:

Set up a system of equations where x is the number of balls and y is the number of bats:

x + y = 100

4.5x + 20y = 822

Solve by elimination by multiplying the top equation by -20, then combine the equations together:

-20x - 20y = -2000

4.5x + 20y = 822

-15.5x = -1178

x = 76

Then, plug in 76 as x in the first equation to solve for y:

x + y = 100

76 + y = 100

y = 24

So, 76 balls and 24 bats were purchased.

User Pluda
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5.8k points