Question
melissa is budgeting for her trip to the mail. she dose not want to spend more than $170 she wants to buy a dress that cost $32.50 and some shirts that cost 18.25 melissa use a inequality to determine the maximum number of shrts she can buy 18.2x+32.50 less then 170
Answers
GPT-4o mini
To set up the inequality that determines the maximum number of shirts Melissa can buy, let's denote the number of shirts she wants to buy as \( x \). The cost of the dress is $32.50 and the cost of each shirt is $18.25.
The total amount Melissa can spend is at most $170. Therefore, we can write the inequality as follows:
\[
32.50 + 18.25x \leq 170
\]
Now, let's solve for \( x \):
1. Subtract the cost of the dress from both sides:
\[
18.25x \leq 170 - 32.50
\]
2. Calculate the right side:
\[
170 - 32.50 = 137.50
\]
So now the inequality is:
\[
18.25x \leq 137.50
\]
3. Divide both sides by 18.25 to isolate \( x \):
\[
x \leq \frac{137.50}{18.25}
\]
4. Now, calculate the value on the right:
\[
x \leq 7.527
\]
Since she can't buy a fraction of a shirt, we round down to the nearest whole number:
\[
x \leq 7
\]
Thus, the maximum number of shirts Melissa can buy is **7 shirts**.
The total amount Melissa can spend is at most $170. Therefore, we can write the inequality as follows:
\[
32.50 + 18.25x \leq 170
\]
Now, let's solve for \( x \):
1. Subtract the cost of the dress from both sides:
\[
18.25x \leq 170 - 32.50
\]
2. Calculate the right side:
\[
170 - 32.50 = 137.50
\]
So now the inequality is:
\[
18.25x \leq 137.50
\]
3. Divide both sides by 18.25 to isolate \( x \):
\[
x \leq \frac{137.50}{18.25}
\]
4. Now, calculate the value on the right:
\[
x \leq 7.527
\]
Since she can't buy a fraction of a shirt, we round down to the nearest whole number:
\[
x \leq 7
\]
Thus, the maximum number of shirts Melissa can buy is **7 shirts**.