Question

Miguel has a total of 27 dimes and nickels. The total value of the coins is $1.80. How many dimes and nickels does he have?

Answer 1

Answer:

There are 9 dimes and 18 nickels.

Step-by-step explanation:

Let d = be the number of dimes

 

     n = be the number of nickels

 

 

    d + n = 27...eq.1

 

   0.10d + 0.05n = 1.80...eq.2

 

Solve the system of equations

 

   d + n = 27

 

10d + 5n = 180  ( multiply eq.2 by 100 )

 

 -5d - 5n = -135

 

      5d = 45

 

       

        d = 9 , there are 9 dimes so,0.90

 

        n = 27 - 9 = 18,   there are 18 nickels so, 0.90

 

To check:   9 dimes + 18 nickels = 27 coins

 

                0.90 + 0.90 = $ 1.80 total value of the coins