SOLUTION: Tim and Judy mix two kinds of feed for pedigree dogs. They wish to make 24 pounds of feed worth 49 cents per pound by mixing one kind worth 38 cents per pound with another worth 56
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Question 758555: Tim and Judy mix two kinds of feed for pedigree dogs. They wish to make 24 pounds of feed worth 49 cents per pound by mixing one kind worth 38 cents per pound with another worth 56 cents per pound. How many pounds of the cheaper kind should they use in the mix? Round the nearest whole pound if necessary Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = pounds of 38 cents/pound feed needed
Let = pounds of 56 cents/pound feed needed = cost of 38 cents/pound feed used = cost of 56 cents/pound feed used
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(1)
(2)
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(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
(1)
9.333 pounds of 38 cents/pound feed is needed
check:
(2)
(2)
(2)
(2)
(2)
close enough
