SOLUTION: A metallurgist has one alloy containing 40% aluminum and another contained 57% aluminum. How many pounds of each alloy must he use to make 54 pounds containing 51% aluminum.

Question 295319: A metallurgist has one alloy containing 40% aluminum and another contained 57% aluminum. How many pounds of each alloy must he use to make 54 pounds containing 51% aluminum.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let A be the number of pounds of 40% aluminum, B be the number of pounds of 57% aluminum.
1.
2.
Use eq. 1,

Substitue into eq. 2,

Then from eq.1,

.
.
.
Use (or about lbs) of 40% alloy and (or about lbs) of 57% alloy to get lbs of 51% aluminum.
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