SOLUTION: Sierra has seventeen fewer dimes than quarters. Sierra has a total of twenty-seven dimes and quarters. How many of each coin does she have?

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Question 323119: Sierra has seventeen fewer dimes than quarters. Sierra has a total of twenty-seven
dimes and quarters. How many of each coin does she have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
d = number of dimes
q = number of quarters
given:
d+%2B+q+=+27
d+=+q+-+17
------------
By substitution:
q+-+17+%2B+q+=+27
2q+=+44
q+=+22
and, since
d+%2B+q+=+27
d+=+27+-+22
d+=+5
She has 5 dimes and 22 quarters