CPM Homework Help : CC2 Problem 6-115

Jana’s mom gave her $\$100$ to shop for some new school clothes. She is at the store and has picked out a pair of pants that cost $\$49.50$ . She wants to spend the rest of her money buying various colors of a shirt that is on sale for $\$12.99$ . Write an inequality that can be used to calculate the number of shirts she can buy. Solve your inequality. How many shirts can Jana buy?

Hint:

Jana can spend less than or equal to $\$100$ , but she has already decided on a pair of pants. This means that the money she has left over must be less than or equal to the $\$100$ minus the money she is spending on the pair of pants.

Step 1:

$\$12.99(x\ \text{shirts})\le\$100-\$49.50$

Step 2:

Subtract and remove units to make the inequality easier to solve.
$12.99x\le50.50$

Step 3:

Now solve for the number of shirts, $x$ .