SOLUTION: A grocer buys twice as many good apples at 20c each as poor apples at 15c each. He finds that one dozen of the poor apples are bad. By selling the rest at 30c each he makes a profi

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A grocer buys twice as many good apples at 20c each as poor apples at 15c each. He finds that one dozen of the poor apples are bad. By selling the rest at 30c each he makes a profi      Log On


   

Question 93173: A grocer buys twice as many good apples at 20c each as poor apples at 15c each. He finds that one dozen of the poor apples are bad. By selling the rest at 30c each he makes a profit of $26.15. How many each type of apple did he buy?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A grocer buys twice as many good apples at 20c each as poor apples at 15c each. He finds that one dozen of the poor apples are bad. By selling the rest at 30c each he makes a profit of $26.15. How many each type of apple did he buy?
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Bad apple DATA:
# bought = x ; cost = 15x cents ;
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Good apple DATA:
# bought = 2x ; cost = 20x cents ;
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Selling DATA:
# sold = 3x-12 ; revenue from sale = 30(3x-12) = 90x-360 cents
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EQUATION:
revenue - cost = 2615 cents
90x-360 - 15x-20x = 2615
55x = 2975
x = 54 (# of bad apples he bought)
2x = 108 (# of good apples he bought)
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Cheers,
Stan H.