Question 387472: Bob bought 2 pounds of trail mix, 1.5 pounds of mixed nuts, and 3 pounds of dried fruit for $28.42. Brian bought 4.5 pounds of mixed nuts and 2 pounds of dried fruit for $39.39. The price for trail mix and dried fruit equal the price of mixed nuts. How much does each product cost per pound?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Bob bought 2 pounds of trail mix, 1.5 pounds of mixed nuts, and 3 pounds of dried fruit for $28.42. Brian bought 4.5 pounds of mixed nuts and 2 pounds of dried fruit for $39.39. The price for trail mix and dried fruit equal the price of mixed nuts. How much does each product cost per pound?
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Let "t" be the price per pound of trail mix.
Let "m" be the price per pound of mixed nuts.
Let "c" be the price per pound of dried fruit.
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Equation:
2t + 1.5m + 3d = 2842 cents
0t + 4.5m + 2d = 3939 cents
t - m + d = 0
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Use any method you know to get:
t = $2.99
m = $6.98
d = $3.99
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Cheers,
Stan H.
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