SOLUTION: Bronze which costs $9.10/kg is made by combining copper which costs $8.90/kg with tin which costs $9.50/kg. Find the number of kg of copper and tin required to make 15.3 kg of bron

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Question 344410: Bronze which costs $9.10/kg is made by combining copper which costs $8.90/kg with tin which costs $9.50/kg. Find the number of kg of copper and tin required to make 15.3 kg of bronze.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of copper and let B be the amount of tin.
Total weight equation:
1.A%2BB=15.3
Total cost equation:
8.9A%2B9.5B=15.3%289.1%29
2.8.9A%2B9.5B=139.23
From eq. 1,
A=15.3-B
Substitute into eq. 2,
8.9%2815.3-B%29%2B9.5B=139.23
136.17-8.9B%2B9.5B=139.23
0.6B=3.06
highlight%28B=5.1%29kg
Then from eq. 1,
A%2B5.1=15.3
highlight%28A=10.2%29kg