Question

Edward has 60¢ in dimes and nickels. He has 11 coins altogether. How many coins of each kind does he have?

Answer 1

1 dime and 10 nickels.

Explanation:

Use the equations:

60 = 10x + 5y

11 = x + y

x is equal to the number of dimes, y is equal to the number of nickels.

Isolate the x variable in one of the equations:

x = 11-y

Plug 'x' into the other equation:

60 = 10(11-y) + 5y

Simplify

60 = 110 - 10y + 5y

-50 = -5y

y = 10

Insert this y value into the original equations to find the value of x

11 = x + 10

x = 1