### Home > CAAC > Chapter 12 > Lesson 12.2.1 > Problem 12-38

12-38.

Write and solve an equation (or system of equations) for the situation below. Define your variable(s) and write your solution as a sentence.

Jessica has 147 coins that are all dimes and quarters. The number of quarters is 6 fewer than twice the number of dimes. What is the value of her coins?

Think of this situation as:

The number of dimes plus the number of quarters equals 147.

2 times the number of dimes minus 6 equals the number of quarters.

Define your variables: the number of dimes

*the number of quarters*

Use steps 1 and 2 to build two equations. Then solve for and

*.*

Remember to write your solution as a sentence, not just solve for the variables!