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 dimes be x and Nickel be y

Dimes are 12 less than double the number of nickles

therefore, dimes x = 2y - 12

the sum of nickel and dimes (x + y = $2.25)

replace x with (2y - 12) to be

(2y - 12) + y = 2.55

3y-12= 2.55

3y = 14.55

y= 14.55/3

y= 4.85

Hello there I am still working on your question and I might correct what i have already written, so please wait. Thanks

1 Dime= $0.10 ......x

1 Nickle = $ 0.05.......y

the equation is 0.1x + 0.05y = 2.55

The number of dimes are x= 2y - 12

therefore replace x with 2y - 12

0.1( 2y-12) + 0.05y = 2.55

0.2y -1.2 + 0.05y = 2.55

0.25y = 3.75

y= 15 ( the number of nickles)

therefore, the number of dimes are;

x= 2(15) - 12

x = 30 -12

x = 18

ANS

the number of dimes are 18

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You can ignore first answer dear

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