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A T-shirt vendor is thinking about changing the number of T-shirts he brings to an event. To make sure he doesn't run out, he plans to bring more of the size most likely to be sold.

The table shows the number of T-shirts of each size sold at his last event and the number he had for sale:

| Size | Sold | Number for Sale |
|---------|------|-----------------|
| Small | 126 | 180 |
| Medium | 220 | 270 |
| Large | 284 | 315 |
| X-Large | 95 | 135 |

Which size should he bring more of?

A. Small
B. Medium
C. Large
D. X-Large


Sagot :

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