Question

Sophie is buying 3 outfits (a shirt and shorts) to wear to volleyball practice. The shirts are $10 each, and her total is $64.50.
How much did each pair of shorts cost?

Answer 1

Let's denote the cost of each pair of shorts as \( x \).

Sophie is buying 3 outfits, which means she is buying 3 shirts and 3 pairs of shorts.

The cost for the shirts is:
\[
3 \text{ shirts} \times 10 \text{ dollars per shirt} = 30 \text{ dollars}
\]

Let’s express the total cost of the shorts. Since she is buying 3 pairs of shorts, the cost for the shorts is:
\[
3 \text{ pairs of shorts} \times x \text{ dollars per pair} = 3x \text{ dollars}
\]

Now we can set up the equation for the total cost:
\[
30 + 3x = 64.50
\]

Next, we can solve for \( x \) by first subtracting 30 from both sides:
\[
3x = 64.50 - 30
\]
\[
3x = 34.50
\]

Now, divide both sides by 3 to find \( x \):
\[
x = \frac{34.50}{3} = 11.50
\]

Thus, each pair of shorts costs **$11.50**.