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?

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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) About Me  (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) About Me  (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

highlight_green%28100Q%2B25Q%2B25Q=300%29

150Q=300

highlight%28Q=2%29
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