SOLUTION: The town recreation department ordered a total of 100 balls and bats and hats for the summer baseball camp. Balls cost $4.50 each, and bats cost $20.00 each. The total purchase was

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Question 586416: The town recreation department ordered a total of 100 balls and bats and hats for the summer baseball camp. Balls cost $4.50 each, and bats cost $20.00 each. The total purchase was $822. How many of each item were ordered?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The town recreation department ordered a total of 100 balls and bats and hats for the summer baseball camp. Balls cost $4.50 each, and bats cost $20.00 each. The total purchase was $822. How many of each item were ordered?
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Equations:
b + h = 100
4.5b + 20h = 822
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Multiply thru 1st by 200
Multiply thru 2nd by 10.
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200b + 200h = 200*100
45b + 200h = 8220
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Subtract and solve for "b":
155b = 11780
# of balls = 76
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# of bats = 100-76 = 24
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Cheers,
Stan H.
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