SOLUTION: An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 100 grams of an alloy containing 35% copper with 60 grams of an alloy containing 55% copper. How man

Question 934739: An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 100 grams of an alloy containing 35% copper with 60 grams of an alloy containing 55% copper. How many grams of copper are in the resulting mixture? What percentage of the resulting mixture is copper?
Found 2 solutions by TimothyLamb, ankor@dixie-net.com:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = percentage of copper in the resulting mixture
y = grams of copper in the resulting mixture
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100*0.35 + 60*0.55 = (100 + 60)x/100
100*( 100*0.35 + 60*0.55 ) = (100 + 60)x
x = 100*( 100*0.35 + 60*0.55 )/(100 + 60)
x = percentage of copper in the resulting mixture = 42.5%
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y = (100 + 60)x/100
y = (100 + 60)*42.5/100
y = grams of copper in the resulting mixture = 68 grams
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Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
An alloy is a mixture of metals.
Suppose that a certain alloy is made by mixing 100 grams of an alloy containing 35% copper with 60 grams of an alloy containing 55% copper.
How many grams of copper are in the resulting mixture?
What percentage of the resulting mixture is copper?
:
From the information given we know that the final mixture: 100+60 = 160 grams
:
let x = the percent copper of the final mixture
35(100) + 55(60) = 160x
3500 + 3300 = 160x
6800 = 160x
x = 6800/160
x = 42.5%
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