Question

6.
chelsea is budgeting for her trip to the mall. she does not want to spend any more than $140. if she wants to buy a dress that costs $28.50 and some shirts that cost $20.75 each. what is the maximum number of shirts she can buy?
a. 10 b. 7
c. 6 d. 5

Explanation:

Step1: Set up budget inequality

Let $x$ = number of shirts. Total cost: $28.50 + 20.75x \leq 140$

Step2: Isolate the shirt cost term

Subtract 28.50 from both sides:
$20.75x \leq 140 - 28.50$
$20.75x \leq 111.50$

Step3: Solve for x

Divide both sides by 20.75:
$x \leq \frac{111.50}{20.75}$
$x \leq 5.37$

Step4: Round to whole number

Since shirts are whole items, use the largest integer ≤ 5.37, which is 5.

Answer:

D. 5