CPM Homework Help : AC Problem 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?

Step 1:

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.

Step 2:

Define your variables:
$x=$ the number of dimes
$y=$ the number of quarters

Step 3:

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

Hint:

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