SOLUTION: The value of 83 coins consisting of dimes and nickles is $5.75. Find the number of nickles

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Question 462021: The value of 83 coins consisting of dimes and nickles is $5.75. Find the number of nickles
Answer by katealdridge(100) About Me  (Show Source):
You can put this solution on YOUR website!
This is a system of equations. Let d=the number of dimes and n=the number of nickels.
.10d%2B.05n=5.75
d%2Bn=83 Solve this equation for d.
d=83-n Now take 83-n and substitute it into the first equation for d.
.10%2883-n%29%2B.05n=5.75 Simplify and solve.
8.3-.10n%2B.05n=5.75
8.3-.05n=5.75
-.05n=-2.55
n=51 51 nickels. Since there are 83 coins altogether, then there must be 32 dimes.