Chelsea can buy a maximum of 5 shirts to stay within her $140 budget, as determined by the inequality
. Therefore, the correct answer is D. 5 shirts.
To determine how many shirts Chelsea can buy without exceeding her budget, we use the inequality
, where x represents the number of shirts.
1. Subtract the dress cost from the budget:
![\[140 - 28.50 \geq 20.75x\]](https://img.qammunity.org/2024/formulas/mathematics/college/cgv5pmna4xnwkdsz0n5cta424tbhcsw4un.png)
2. Simplify the left side:
![\[111.50 \geq 20.75x\]](https://img.qammunity.org/2024/formulas/mathematics/college/9qoetdgrh7n7zk47kyz1be38l78ku9ccyx.png)
3. Divide both sides by the shirt cost:
![\[(111.50)/(20.75) \geq x\]](https://img.qammunity.org/2024/formulas/mathematics/college/dc57slsr19qdn2ye14qkytpwrzb895mtze.png)
4. Calculate the number of shirts:
![\[x \approx 5.38\]](https://img.qammunity.org/2024/formulas/mathematics/college/fnu5h388kqyfesoaeo1kort8scq67xcmjo.png)
Since the number of shirts must be a whole number, Chelsea can buy a maximum of 5 shirts to stay within her budget.
Therefore, the correct answer is option D. 5 shirts. Chelsea cannot buy 6 shirts without exceeding her budget. This solution ensures Chelsea's spending stays at or below $140.
Que. 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? Use the inequality to help solve the problem. 140≥ 28.50+20.75x
A. 10
B. 7
C. 6
D. 5