SOLUTION: Thomas has $ 6.35 in dimes quarters. The number of dimes is three more than three times the number of quarters. How many quarters does has she have?

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Question 175794: Thomas has $ 6.35 in dimes quarters. The number of dimes is three more than three times the number of quarters. How many quarters does has she have?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the number of dimes D and quarters Q.
Each dime is worth 0.1 and each quarter 0.25.
"Thomas has $ 6.35 in dimes quarters"
0.1D%2B0.25Q=6.35
1.10D%2B25Q=635
"number of dimes is three more than three times the number of quarters"
2.D=3%2B3Q
Substitute eq. 2 into eq. 1,
1.10D%2B25Q=635
10%283%2B3Q%29%2B25Q=635
30%2B30Q%2B25Q=635
55Q=605
Q=11
From eq. 2,
2.D=3%2B3Q
D=3%2B3%2811%29
D=3%2B33
D=36
Thomas has 36 dimes and 11 quarters.