# Suppose you have 12 coins that total 32 cents. Some of the coins are nickels and the rest are pen How many of each coin do you have?

##### 2 Answers

#### Explanation:

Let

Subtract the top equation from the bottom, to get:

Since you have

0 nickels and 32 pennies

1 nickel and 27 pennies

2 nickels and 22 pennies

3 nickels and 17 pennies

4 nickels and 12 pennies

5 nickels and 7 pennies

6 nickels and 2 pennies

#### Explanation:

This problem can be set up algebraically by using the value of the nickels plus the value of the pennies equal to the total value of 32 cents.

The value of the nickels is

The value of the pennies is

Therefore

We can now determine the number of pennies by using the possible number of nickels