SOLUTION: a parking meter accepts only quarters and dollars.there are 31 coins value of 20.50 how many quarters and dollars are there

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Question 233349: a parking meter accepts only quarters and dollars.there are 31 coins value of 20.50 how many quarters and dollars are there
Answer by Alan3354(69443) About Me  (Show Source):
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a parking meter accepts only quarters and dollars.there are 31 coins value of 20.50 how many quarters and dollars are there
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Q + D = 31 (# of coins)
25Q + 100D = 2050 (value of coins)
D = 31-Q
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25Q + 100D = 2050
25Q + 100*(31-Q) = 2050
25Q + 3100 - 100Q = 2050
-75Q = -1050
Q = 14
D = 17