Question 53563
If prunes cost $2.90/lb and apricots cost $3.15/lb and a total of 20 lbs of the two combined was sold for $59.75.  How many pounds of each fruit was sold?
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A standard mixture problem, learn this method and you can do most of these type of problems.
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Let x = no. of lbs of prunes
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The two fruit amts add up to 20, so we can say:
(20-x) = no of lbs of apricots
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2.90(x) + 3.15(20-x) = 59.75
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2.9x + 63 - 3.15x = 59.75
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2.9x - 3.15x = 59.75 - 63
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-.25x = -3.25
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x = -3.25/-.25
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x = +13 lb of prunes
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then 20 - 13 = 7 lb of apricots
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Check out solution:
 2.9(13) + 3.15(7) = 
  37.7   + 22.05   = 59.75