A child has a piggy bank that contains only quarters and dimes. Altogether, there are 27 coins in the bank and the total value of the coins is $4.50. How many quarters and how many dimes are in the piggy bank?

Write a system of linear equations based on the description. Use

x

to represent the

number of quarters and

y

to represent the number of dimes.

Solve the system using the

elimination method. Show all the steps leading to your

answer.