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Question 928006: The Divine Chocolate Candy store wants to make a new treat consisting of milk chocolate and hazelnuts. They want to make a 10 pound box that sells for $5 per pound. If hazelnuts sell for $6 per pound and chocolate sells for $4 per pound, how pounds of each must they mix to get their desired product?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The Divine Chocolate Candy store wants to make a new treat consisting of milk chocolate and hazelnuts. They want to make a 10 pound box that sells for $5 per pound. If hazelnuts sell for $6 per pound and chocolate sells for $4 per pound, how pounds of each must they mix to get their desired product?
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Equations:
Weight Eq:: m + h = 10 lbs
Value Eq:: 4m + 6h = 5*10 dollars
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Substitute for "m" and solve for "h"::
4(10-h) + 6h = 50
40 -4h + 6h = 50
2h = 10
h = 5 lbs (amt of hazelnuts needed)
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Solve for "m" using m + h = 10
m + 5 = 10
m = 5 lbs (amt of milk chocolate needed)
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Cheers,
Stan H.
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