SOLUTION: I have 12 coins. Dimes and quarters only. There are 3 times as many quarters as dimes. The dimes are worth 3 times as much as the quarters. How many dimes and quarters?

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Question 900497: I have 12 coins. Dimes and quarters only. There are 3 times as many quarters as dimes. The dimes are worth 3 times as much as the quarters. How many dimes and quarters?
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
Dimes are worth 3x as much as quarters? In which currency is this? The value is not really relevant in this problem, but it's weird.
D + Q = 12
Q = 3D
Substitute the number of quarters from the bottom equation into the top.
D+Q =12
D + (3D) = 12
4D = 12
D = 3
You have 3 dimes. If you have 3x as many quarters, then you have 9 quarters for a total of 3+9=12 coins.