SOLUTION: Janet has $8.55 in nickels, dimes, and quarters. She has 7 more dimes than nickels and quarters combined. How many of each coin does she have? 3 years ago

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Question 330057: Janet has $8.55 in nickels, dimes, and quarters. She has 7 more dimes than nickels and quarters combined. How many of each coin does she have?
3 years ago

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.5N%2B10D%2B25Q=855
2.D=N%2BQ%2B7
Substituting eq. 2 into eq. 1,
5N%2B10N%2B10Q%2B70%2B25Q=855
15N%2B35Q=785
3N%2B7Q=157
There are multiple solutions because you have 1 equation with 2 unknowns.
1 nickels, 22 quarters, (19+4+7=)30 dimes
8 nickels,19 quarters, 34 dimes
15 nickels,16 quarters, 38 dimes
22 nickels,13 quarters, 42 dimes
29 nickels,10 quarters, 46 dimes
36 nickels,7 quarters, 50 dimes
43 nickels,4 quarters, 54 dimes
50 nickels,1 quarters, 58 dimes