Question

June has $1.95 in dimes and nickels. She has a total of 28 coins. How many of each type of coin does she have.

Answer 1

Answer:

11 dimes 17 nickels

Step-by-step explanation:

Answer 2

A dime = 0.10

A nickel = 0.05

N + D = 28 coins

Rewrite this as N = 28 -D

0.10D + 0.05N = 1.95

Replace N withe the rewritten equation above:

0.10D + 0.05(28-D) = 1.95

Use the Distributive Property:

0.10D + 1.4 - 0.05D = 1.94

Add the like terms:

0.05D + 1.4 = 1.95

Subtract 1.4 from both sides:

0.05D = 0.55

Divide both sides by 0.05

D = 0.55 / 0.05

D = 11

Nickels = 28 - 11 = 17

There are 11 dimes and 17 nickels.