Question 930403: Create a trail mix with only three ingredients (fruit, peanuts, cashews). You need to know the cost per pound and one ingredient must be twice the weight of the other two. Using systems of equations and/or matrices; how many pounds of each ingredient should be used to create a 155 lb mix that costs $7.50 per pound.
Using the ingredients that peanuts are $1/lb fruit are $2/lb and cashews are $20/lb.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Create a trail mix with only three ingredients (fruit, peanuts, cashews). You need to know the cost per pound and one ingredient must be twice the weight of the other two. Using systems of equations and/or matrices; how many pounds of each ingredient should be used to create a 155 lb mix that costs $7.50 per pound.
Using the ingredients that peanuts are $1/lb fruit are $2/lb and cashews are $20/lb.
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Value Eq:: 1p + 2f + 20c = 7.5*155
Quantity:: p = 2f ; p = 2c
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Substitute and solve for "p"::
p + p + 10p = 7.5*155
12p = 7.5*155
p = 96.88 lb (amt. of peanuts needed)
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fruit = p/2 = 48.44 lb
cashews = p/2 = 48.44 lb
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Cheers,
Stan H.
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