Question

Your group has 10 pennies and 10 nickels. Use these pennies and nickels to solve the following problems.

1. You have a total of 11 coins. The total value of the 11 coins is 23 cents.
What is the only possible combination of pennies and nickels?
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Answer 1

p=8

n=3

Explanation:

let number of pennies=p

number of nickels=n

p+n=11

n=11-p

1*p+5*n=23

p+5(11-p)=23

p+55-5p=23

55-4p=23

4p=55-23=32

p=32/4=8

n=11-8=3