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Each quarter is 25, and he has X quarters.
Each dime is 10, and he has 2X dimes.
Each nickel is 5. He has 12 coins in total, and all of the ones that are not quarters or dimes are nickels. Since quarters and dimes have to come in sets of 3, that's 12-3X.
25X + 10(2X) + 5(12-3X) = 120
25X + 20X - 15X + 60 =120
30X + 60 = 120
30X = 60
X = 2
He has 2 quarters, 4 dimes, and 6 nickels.
To double check let's add them up:
(2 * 25) + (4* 10) + (6 * 5) = 120
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