How much of an alloy that is 30% copper should be mixed with 600 ounces of an alloy that is 80% copper in order to get an alloy that is 40% copper?
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Answer: The amount is =2400 ounces
Explanation:
Let
x
ouncs be amount of the alloy
And the total
=
x
+
600
ounces
Therefore the balance with respect to copper is
x
⋅
0.3
+
600
⋅
0.8
=
(
x
+
600
)
⋅
0.4
0.3
x
+
480
=
0.4
x
+
240
0.1
x
=
240
x
=
2400
ounces
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