SOLUTION: How many kilograms (kg) of a 15% copper alloy must be melted with a 45% copper alloy to obtain 60 kilograms of a 32% copper alloy?

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Question 330203: How many kilograms (kg) of a 15% copper alloy must be melted with a 45% copper alloy to obtain 60 kilograms of a 32% copper alloy?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 15% alloy, B the amount of 45% alloy.
1.A%2BB=60
15A%2B45B=32%2860%29=1920
2.A%2B3B=128
Subtract eq. 1 from eq. 2,
A%2B3B-A-B=128-60
2B=68
B=34
Then from eq. 1,
A%2B34=60
A=26
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26 kilos of 15% alloy and 34 kilos of 45% alloy.