To determine which T-shirt size the vendor should bring more of, we need to find the size with the highest ratio of sold T-shirts to available T-shirts. Let's work through the ratios for each size step-by-step.
The data provided is as follows:
- Small: Sold = 126, Available = 180
- Medium: Sold = 220, Available = 270
- Large: Sold = 284, Available = 315
- X-Large: Sold = 95, Available = 135
### Step-by-Step Calculation:
1. Calculate the ratio of sold to available T-shirts for each size:
- For Small: [tex]\(\text{Ratio} = \frac{126}{180} \approx 0.7\)[/tex]
- For Medium: [tex]\(\text{Ratio} = \frac{220}{270} \approx 0.8148\)[/tex]
- For Large: [tex]\(\text{Ratio} = \frac{284}{315} \approx 0.9016\)[/tex]
- For X-Large: [tex]\(\text{Ratio} = \frac{95}{135} \approx 0.7037\)[/tex]
2. Compare these ratios:
- Small: [tex]\( \approx 0.7 \)[/tex]
- Medium: [tex]\( \approx 0.8148 \)[/tex]
- Large: [tex]\( \approx 0.9016 \)[/tex]
- X-Large: [tex]\( \approx 0.7037 \)[/tex]
3. Determine the highest ratio:
- The highest ratio is [tex]\( \approx 0.9016 \)[/tex] for the Large size.
### Conclusion:
Since the Large size has the highest ratio of sold T-shirts to available T-shirts, the vendor should bring more Large T-shirts to the event.
Therefore, the answer is:
C. Large
