### Home > CCA > Chapter 11 > Lesson 11.3.1 > Problem11-81

11-81.

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

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.

$x=$ the number of dimes
$y=$ the number of quarters
Use steps 1 and 2 to build two equations. Then solve for $x$ and $y$.