Question 689422: A candy store sells cans of cashews for $4.50 per pound and peanuts for $2.50 per pound. If you wanted to buy exactly 8 pounds of nuts for $23.00, how many pounds of each kind should you buy?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A candy store sells cans of cashews for $4.50 per pound and peanuts for $2.50 per pound. If you wanted to buy exactly 8 pounds of nuts for $23.00, how many pounds of each kind should you buy?
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Note: $23 for 8 lbs means 2.875 per pound
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Value Equation: 4.5c + 2.5p = 2.875*8
Quantity Equation: c + p = 8 lbs
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c = 8-p
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Substitute for "c" and solve for "p":
4.5(8-p) + 2.5p = 2.875*8
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4.5*8 - 4.5p + 2.5p = 2.875*8
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-2.5p = -1.625*8
p = 5.2 lbs (amt. of peanuts needed)
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c = 8-5.2 = 2.7 lbs (amt. of cashews needed)
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Cheers,
Stan H.
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