SOLUTION: Matthew has 5 more dimes than nickels. He has $15.50. How many dimes does he have? How many nickels?

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Question 972767: Matthew has 5 more dimes than nickels. He has $15.50. How many dimes does he have? How many nickels?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Matthew has 5 more dimes than nickels. He has $15.50. How many dimes does he have? How many nickels?
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Without the 5 more dimes, he has pairs of nickels and dimes worth 15 cents each and a total of $15.
1500/15 = 100 pairs.
--> 100 nickels
105 dimes
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The hard way
D = N+5
10D + 5N = 1550
10(N+5) + 5N = 1550
15N + 50 = 1550
N = 100
etc