Question
Multiple Choice Question
Melissa is budgeting for her trip to the mall. She does not want to spend more than $170. She wants to buy a dress that costs $32.50 and some shirts that cost $18.25 each. Melissa uses the following inequality to determine the maximum number of shirts she can buy
18.2x + 32.5 < 170
Based on the above information, what is the maximum number of shirts Melissa can buy?
Answers
GPT-4o mini
To determine the maximum number of shirts Melissa can buy, we need to solve the inequality:
\[ 18.25x + 32.50 < 170 \]
1. First, subtract $32.50 from both sides of the inequality:
\[ 18.25x < 170 - 32.50 \]
\[ 18.25x < 137.50 \]
2. Next, divide both sides by $18.25 to isolate \( x \):
\[ x < \frac{137.50}{18.25} \]
Now, calculating the right side:
\[ x < 7.53 \]
Since the number of shirts must be a whole number, we take the largest whole number less than \( 7.53 \). Therefore, the maximum number of shirts Melissa can buy is:
**7 shirts**.
\[ 18.25x + 32.50 < 170 \]
1. First, subtract $32.50 from both sides of the inequality:
\[ 18.25x < 170 - 32.50 \]
\[ 18.25x < 137.50 \]
2. Next, divide both sides by $18.25 to isolate \( x \):
\[ x < \frac{137.50}{18.25} \]
Now, calculating the right side:
\[ x < 7.53 \]
Since the number of shirts must be a whole number, we take the largest whole number less than \( 7.53 \). Therefore, the maximum number of shirts Melissa can buy is:
**7 shirts**.