Logan has $2.55 in dimes and nickles. How many dimes does he have if there are 12 less than double the number of nickles

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Let x be the number of nickles

y the number of dimes

x+y=2.55

2x-12=y

y+x=2.55

y-2x=-12

subtracting the two equations

3x=14.55

x=14.55/3

x=4.85

y=2*4.85-12.

y=-2.3

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