# SOLUTION: If you have 44 dimes and quarters with a total of \$8.60, how many dimes are there?

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 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(30993)   (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? -------- d + q = 44 10d + 25q = 860 ================ Or, If it's 44 dimes, it's worth \$4.40 Each dime replaced by a quarter add \$0.15 --------- 860 - 440 = 420 420/15 = 28 --> 28 quarters Answer by Edwin McCravy(8896)   (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? ```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 ------------------------------ total is \$8.60 Edwin```