SOLUTION: To meet the government's specifications, a certain alloy must be 65% aluminum. How many pounds each of a 70% aluminum alloy and a 54% aluminum alloy will be needed to produce 640 p
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Question 1152476: To meet the government's specifications, a certain alloy must be 65% aluminum. How many pounds each of a 70% aluminum alloy and a 54% aluminum alloy will be needed to produce 640 pounds of the 65% aluminum alloy? Answer by ikleyn(52787) (Show Source):
x pounds of the 70% alloy and the rest, (640-x) pounds of the 54% alloy.
Then the balance equation for the pure aluminium is
0.70x + 0.54*(640-x) = 0.65*540 pounds.
From the equation, express x and calculate
x = = 440.
ANSWER. 440 pounds of the 70% alloy and the rest, 640-440 = 200 pounds of the 54% alloy.
CHECK. 0.70*440 + 0.54*200 = 416 pound of the pure aluminium in the ingredients, and
0.65*640 = 416 pounds of the pure aluminium in the resulting alloy. ! Precisely correct !
Solved.
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It is a standard and typical mixture word problem.
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