To determine which size of T-shirt the vendor should bring more of, we need to calculate the fraction of T-shirts sold for each size. This way, we can identify which size had the highest sales proportion relative to the stock available.
Here are the steps to solve the problem:
1. List the number of T-shirts sold and the number for sale for each size:
- Small: Sold = 160, For sale = 225
- Medium: Sold = 335, For sale = 375
- Large: Sold = 275, For sale = 325
- X-Large: Sold = 125, For sale = 175
2. Calculate the fraction of T-shirts sold for each size:
- For size Small:
[tex]\[
\frac{\text{Sold}}{\text{For sale}} = \frac{160}{225} \approx 0.711
\][/tex]
- For size Medium:
[tex]\[
\frac{\text{Sold}}{\text{For sale}} = \frac{335}{375} \approx 0.893
\][/tex]
- For size Large:
[tex]\[
\frac{\text{Sold}}{\text{For sale}} = \frac{275}{325} \approx 0.846
\][/tex]
- For size X-Large:
[tex]\[
\frac{\text{Sold}}{\text{For sale}} = \frac{125}{175} \approx 0.714
\][/tex]
3. Compare the fractions to find the highest proportion:
- Small: 0.711
- Medium: 0.893
- Large: 0.846
- X-Large: 0.714
4. Identify the size with the highest fraction of T-shirts sold:
- The highest fraction is 0.893, which corresponds to the Medium size.
Therefore, the vendor should bring more of the Medium size T-shirts to his next event.
