Question

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, how many shirts can she buy?

A.
10

B.
7

C.
6

D.
5

Answer 1

To determine how many shirts Chelsea can buy, we need to set up an equation considering her budget and the costs.

1. **Cost of the dress**: $28.50
2. **Cost per shirt**: $20.75
3. **Total budget**: $140
4. **Let \( x \)** be the number of shirts Chelsea wants to buy.

The total cost can be expressed as:
\[
\text{Total cost} = \text{Cost of dress} + \text{Cost of shirts} = 28.50 + 20.75x
\]

Setting this less than or equal to her budget:
\[
28.50 + 20.75x \leq 140
\]

Now, subtract $28.50 from both sides:
\[
20.75x \leq 140 - 28.50
\]
\[
20.75x \leq 111.50
\]

Next, divide both sides by $20.75 to find \( x \):
\[
x \leq \frac{111.50}{20.75}
\]
\[
x \leq 5.367 \ldots
\]

Since Chelsea can only buy a whole number of shirts, we take the maximum whole number less than or equal to \( 5.367 \), which is \( 5 \).

Therefore, the maximum number of shirts Chelsea can buy is **5**.

The answer is:

**D. 5**