SOLUTION: A high-protein diet supplement that costs $6.75 per pound is mixed with a vitamin supplement that costs $3.25 per pound. How many pounds of each should be used to make 5 lb of a mi
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-> SOLUTION: A high-protein diet supplement that costs $6.75 per pound is mixed with a vitamin supplement that costs $3.25 per pound. How many pounds of each should be used to make 5 lb of a mi
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Question 560317: A high-protein diet supplement that costs $6.75 per pound is mixed with a vitamin supplement that costs $3.25 per pound. How many pounds of each should be used to make 5 lb of a mixture that costs $4.65 per pound?
I came up with 6.75x + 16.25 - 3.25x = 4.65 as the equation but it isn't right. I know the answer is 2 lb for the diet supplement and 3 lbs for the vitamin supplement but this equation doesn't lead to that answer. How do I find the correct equation to determine the weights of each supplement in the mixture? Found 2 solutions by scott8148, josmiceli:Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website! Let = pounds of H.P.S. needed
Let = pounds of V.S needed
given: = cost of H.P.S. in mixture = cost of V.S. in mixture
(1)
(2)
------------------------------
(2)
(2)
divide both sides by
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and since
(1)
(1)
(1)
2 pounds of H.P.S.are needed
3 pounds of V.S are needed
check answer:
(2)
(2)
(2)
(2)
(2)
OK
