SOLUTION: Ruth has twice as many dimes as nickels, and five times as many nickels as quarters. she has three dollars in coins in all. how many of each coin does she have?

Question 1008468: Ruth has twice as many dimes as nickels, and five times as many nickels as quarters. she has three dollars in coins in all. how many of each coin does she have?
Found 2 solutions by CubeyThePenguin, josgarithmetic:
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
n = number of nickels
d = number of dimes
q = number of quarters

d = 2n
q = 5n
5n + 10d + 25q = 300

Write everything in terms of n.

5n + 10d + 25q = 300
5n + 10(2n) + 25(5n) = 300
150n = 300
n = 2

Ruth has 2 nickels, 4 dimes, and 10 quarters.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

how many cents DIMES 10Q 10*10Q=100Q NICKELS 5Q 5*5Q=25Q QUARTERS Q 25Q Money TOTAL 300 cents

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