SOLUTION: How many pounds of an alloy containing 45% silver must be melted with a alloy containing 60% silver to obtain 40 pounds of an alloy containing 48% silver?
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Question 1092024: How many pounds of an alloy containing 45% silver must be melted with a alloy containing 60% silver to obtain 40 pounds of an alloy containing 48% silver? Answer by ikleyn(52781) (Show Source):
0.45*x + 0.6*(40-x) = 0.48*x.
where x is the weight (in pounds) under the question.
This equation expresses the silver mass balance in two input alloys and in the resulting alloy.
Simplify and solve for x.