SOLUTION: Jo has 37 coins (all nickels, dimes and quarters) worth $5.50. She has 4 more quarters than nickels. How many dimes does she have?

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Question 104808This question is from textbook
: Jo has 37 coins (all nickels, dimes and quarters) worth $5.50. She has 4 more quarters than nickels. How many dimes does she have? This question is from textbook

Answer by rossiv53(27) About Me  (Show Source):
You can put this solution on YOUR website!
Let amount of nickels = n, amount of quarters = (n+4), and amount of dimes = (37-n).
So, .05n+%2B.25%28n%2B4%29%2B.10%2837-n%29+=+5.50
.05n%2B.25n%2B1.00%2B3.70-.10n+=+5.50
.20n%2B4.70+=+5.50+
.20n%2B4.70+=+5.50
.20n%2B4.70-4.70+=+5.50-4.70
.20n+=.80
n+=+4
So, 4 nickels, 8 quarters, and 33 dimes.
Good Luck!