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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.
\begin{tabular}{|c|c|c|} \hline & Sold & Number for sale \\ \hline Small & 126 & 180 \\ \hline Medium & 220 & 270 \\ \hline Large & 284 & 315 \\ \hline X-Large & 95 & 135 \\ \hline \end{tabular}
To determine which T-shirt size the vendor should bring more of, we need to calculate the ratio of T-shirts sold to those available for each size. This ratio will indicate how likely each size is to be sold out. The size with the highest ratio is the one he should consider bringing more of.
Let's calculate the ratio for each size:
1. Small: - Number sold: 126 - Number available: 180 - Ratio: [tex]\( \frac{126}{180} \approx 0.7 \)[/tex]
2. Medium: - Number sold: 220 - Number available: 270 - Ratio: [tex]\( \frac{220}{270} \approx 0.8148 \)[/tex]
3. Large: - Number sold: 284 - Number available: 315 - Ratio: [tex]\( \frac{284}{315} \approx 0.9016 \)[/tex]
4. X-Large: - Number sold: 95 - Number available: 135 - Ratio: [tex]\( \frac{95}{135} \approx 0.7037 \)[/tex]
Here are the calculated ratios for clarity: - 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]
By comparing these ratios, we can see that the Large size has the highest ratio of approximately 0.9016. This indicates that the Large T-shirts are the most likely to be sold out and therefore, the vendor should bring more of the Large size T-shirts to the next event.
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