Julio has $2.75 in his pocket in nickels and dimes . the number of dimes is 10 less than twice the number of nickels. find the number of each type of coin

 15 nickels and 20 dimes

Step-by-step explanation:

Nickels (N) = N and each is worth $0.05

Dimes (D) = 2N - 10 and each is worth $0.10

0.05N + 0.10D = 2.75

0.05N + 0.10(2N - 10) = 2.75

0.05N + 0.20N - 1.00 = 2.75

             0.25N - 1.00 = 2.75

             0.25N           = 3.75

                    N          =   15

D = 2N - 10

   = 2(15) - 10

   =  30  - 10

   =     20

Check:

0.05(55) + 0.10(20) = 2.75

   0.75    +     2.00   = 2.75

            2.75           = 2.75

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