Question
You buy one shirt for $22 and two pairs of shorts. Your total cost is $56. Assuming both pairs of shorts cost the same amount, what is the price of one pair of shorts?
What is the correct equation and solution for this problem?
2 x - $22 = $56; x = $17
2 x - $22 = $56; x = $34
2 x + $22 = $56; x = $17
2 x + $22 = $56; x = $34
What is the correct equation and solution for this problem?
2 x - $22 = $56; x = $17
2 x - $22 = $56; x = $34
2 x + $22 = $56; x = $17
2 x + $22 = $56; x = $34
Answers
GPT-4o mini
To solve the problem, let's break it down step by step.
1. **Identify the cost of items:**
- Let \( x \) be the price of one pair of shorts.
- You bought one shirt for $22.
- You also bought two pairs of shorts, which would cost \( 2x \).
2. **Set up the equation:**
The total cost of the shirt and the shorts is $56, so the equation would be:
\[
22 + 2x = 56
\]
3. **Solve for \( x \):**
- First, subtract 22 from both sides:
\[
2x = 56 - 22
\]
\[
2x = 34
\]
- Now, divide by 2:
\[
x = \frac{34}{2} = 17
\]
So, the price of one pair of shorts is $17.
**The correct equation and solution from your options is:**
\( 2x + 22 = 56; \, x = 17 \).
1. **Identify the cost of items:**
- Let \( x \) be the price of one pair of shorts.
- You bought one shirt for $22.
- You also bought two pairs of shorts, which would cost \( 2x \).
2. **Set up the equation:**
The total cost of the shirt and the shorts is $56, so the equation would be:
\[
22 + 2x = 56
\]
3. **Solve for \( x \):**
- First, subtract 22 from both sides:
\[
2x = 56 - 22
\]
\[
2x = 34
\]
- Now, divide by 2:
\[
x = \frac{34}{2} = 17
\]
So, the price of one pair of shorts is $17.
**The correct equation and solution from your options is:**
\( 2x + 22 = 56; \, x = 17 \).