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

Answer 1

To find the price of one pair of shorts, we can define the cost of one pair of shorts as \( x \).

Since you bought one shirt for $22 and two pairs of shorts for \( x \) each, we can set up the equation:

\[
2x + 22 = 56
\]

Now, let's solve for \( x \):

1. Subtract 22 from both sides of the equation:
\[
2x = 56 - 22
\]
\[
2x = 34
\]

2. Divide both sides by 2:
\[
x = \frac{34}{2}
\]
\[
x = 17
\]

So, the price of one pair of shorts is $17.

Therefore, the correct equation and solution from your options is:
**2x + $22 = $56; x = $17**.