SOLUTION: Mike has 19 coins in his pocket worth a total of $2.35. He only has nickels, dimes and quarters. There are 2 more dimes than nickels. How many of each coin type does Mike have?

Algebra ->  Finance -> SOLUTION: Mike has 19 coins in his pocket worth a total of $2.35. He only has nickels, dimes and quarters. There are 2 more dimes than nickels. How many of each coin type does Mike have?       Log On


   

Question 1165729: Mike has 19 coins in his pocket worth a total of $2.35. He only has nickels, dimes and quarters. There are 2 more dimes than nickels. How many of each coin type does Mike have?


Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
n, d, q
d-n=2
-n=2-d
n=d-2
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system%28%28d-2%29%2Bd%2Bq=19%2C5%28d-2%29%2B10d%2B25q=235%29
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system%282d%2Bq=21%2C%28d-2%29%2B2d%2B5q=47%29

system%282d%2Bq=21%2C3d%2B5q=49%29

highlight_green%283d%2B5%2821-2d%29=49%29-----------Here, one equation in one variable; solve this and then find the other two number of coins .