SOLUTION: Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 29 pounds of feed worth $ 0.37 per pound by mixing one kind worth $ 0.29 per pound with another worth $ 0.4
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Question 679337: Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 29 pounds of feed worth $ 0.37 per pound by mixing one kind worth $ 0.29 per pound with another worth $ 0.46 per pound. How many pounds of the cheaper kind should they use in the mix? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = pounds of $.29 / lb feed needed
Let = pounds of $.46 / lb feed needed
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given:
(1)
(2)
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(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
They should use 15.35 pounds of the cheaper feed
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check answer:
(2)
(2)
(2)
(2)
(2)
(2)
OK