To determine which size the T-shirt vendor should bring more of, we need to calculate the proportion of T-shirts sold for each size at the last event. This proportion is found by dividing the number of T-shirts sold by the number available for sale for each size.
Here are the given numbers:
- Small: Sold = 126, Number for sale = 180
- Medium: Sold = 220, Number for sale = 270
- Large: Sold = 284, Number for sale = 315
- X-Large: Sold = 95, Number for sale = 135
First, we calculate the proportion of T-shirts sold for each size:
1. For Small size:
[tex]\[
\text{Proportion} = \frac{\text{Sold}}{\text{Number for sale}} = \frac{126}{180} \approx 0.7
\][/tex]
2. For Medium size:
[tex]\[
\text{Proportion} = \frac{\text{Sold}}{\text{Number for sale}} = \frac{220}{270} \approx 0.8148
\][/tex]
3. For Large size:
[tex]\[
\text{Proportion} = \frac{\text{Sold}}{\text{Number for sale}} = \frac{284}{315} \approx 0.9016
\][/tex]
4. For X-Large size:
[tex]\[
\text{Proportion} = \frac{\text{Sold}}{\text{Number for sale}} = \frac{95}{135} \approx 0.7037
\][/tex]
Now, let's compile these proportions:
- Small: 0.7
- Medium: 0.8148
- Large: 0.9016
- X-Large: 0.7037
The highest proportion corresponds to the size that sold the best relative to how many were available. In this case, the highest proportion is 0.9016 for the Large size.
Therefore, the T-shirt vendor should bring more Large size T-shirts to his next event.
