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Matt has twice as many quarters as dimes in his coin collection. If the dimes and quarters together total \$9.00 how many of each kind of coin does he have?

.10*(1/2)x+.25x = 9.00
x(.10*(1/2)+.25)= 9.00
x= 9.00
___(.10*(1/2)+.25)
x = 30
Since you times the dimes by 1/2, you take half of x.
So Dimes = 15, and Quarters = 30
Check, .10(15)+ .25(30) = 9.00

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