Question 595257: If you have 44 dimes and quarters with a total of $8.60, how many dimes are there? Found 2 solutions by Alan3354, Edwin McCravy:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! If you have 44 dimes and quarters with a total of $8.60, how many dimes are there?
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d + q = 44
10d + 25q = 860
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Or,
If it's 44 dimes, it's worth $4.40
Each dime replaced by a quarter add $0.15
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860 - 440 = 420
420/15 = 28
--> 28 quarters
D = number of dimes.
44-D = number of quarters
$.10D + $.25(44-D) = $8.60
.10D + .25(44-D) = 8.60
10D + 25(44-D) = 860
You finish solving that and get D = 16.
D = 16 = number of dimes
44-D = 44-16 = 28 = number of quarters
Checking: 16 dimes is $1.60
28 quarters is $7.00
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total is $8.60
Edwin
