SOLUTION: An alloy of metals is 25% copper. Anotheralloy is 50% copper. How much of each should be used to make 1000 grams of an alloy that is 45% copper?

Question 1000293: An alloy of metals is 25% copper. Anotheralloy is 50% copper. How much of each should be used to make 1000 grams of an alloy that is 45% copper?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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T=amount of 25% alloy; F=amount of 50% alloy
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T+F=1000g
F=1000g-T
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0.25T+0.50F=0.45(1000g)
0.25T+0.50(1000g-T)=0.45(1000g)
0.25T+500g-0.50T=450g
-0.25T=-50g
T=200g
ANSWER 1: 200g of 25% alloy should be used.
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F=1000g-T
F=1000g-200g
F=800g
ANSWER 2: 800g of 50% alloy should be used.
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CHECK:
0.25T+0.50F=0.45(1000g)
0.25(200g)+0.50(800g)=450g
50g+400g=450g
450g=450g
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