# SALES Ling can spend no more than $120 at the summer sale of a department store. She wants to buy shirts on sale for$15 each. How do you write and solve an inequality to determine the number of shirts she can buy?

Apr 29, 2018

The inequality is $15 x \le 120$, and she can buy at most $8$ shirts.

#### Explanation:

Let's split this word problem up.

"no more" refers to the number or less than that, or $\le$.

So whatever Ling buys has to be $\le 120$.

She wants to buy an UNKNOWN number of shirts for $15 each. So we set that UNKNOWN value to $x$, and form an inequality: $15 x \le 120$To solve for $x$, we divide both sides by $\textcolor{red}{15}$: $\frac{15 x}{\textcolor{red}{15}} \le \frac{120}{\textcolor{red}{15}}$Therefore, $x \le 8$She can buy at most $8\$ shirts.

Hope this helps!