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A sports apparel company surveyed the market about the size of T-shirts people most frequently buy: small, medium, large, or extra-large. The table shows the survey results.

\begin{tabular}{|l|c|}
\hline T-Shirt Size & Number of Responses \\
\hline small & 11 \\
\hline medium & 37 \\
\hline large & 83 \\
\hline extra-large & 19 \\
\hline
\end{tabular}

To help its sales, the company should focus on producing size [tex]$\square$[/tex] T-shirts. Approximately [tex]$\square$[/tex] [tex]$\%$[/tex] of T-shirts the company makes should be medium and large T-shirts to match the market preference. If the total number of T-shirts sold in a month is 45,000, [tex]$\square$[/tex] of these will likely be size small.



Answer :

GinnyAnswer
Let's solve the problem step by step based on the survey results.

1. Determine the most popular T-shirt size:
- Small: 11 responses
- Medium: 37 responses
- Large: 83 responses
- Extra-large: 19 responses

By comparing the numbers, the T-shirt size with the most responses is "large."

2. Calculate the percentage of medium and large T-shirts combined:
- Total number of responses = 11 (small) + 37 (medium) + 83 (large) + 19 (extra-large) = 150 responses
- Percentage of medium T-shirts = (37 / 150) 100 = 24.67%
- Percentage of large T-shirts = (83 / 150) 100 = 55.33%
- Combined percentage of medium and large T-shirts = 24.67% + 55.33% = 80.00%

3. Calculate the number of small T-shirts likely to be sold in a month if the total number is 45,000:
- Percentage of small T-shirts = (11 / 150) 100 = 7.33%
- Number of small T-shirts likely to be sold = (7.33 / 100) 45,000 = 3,300

Based on this information:

- To help its sales, the company should focus on producing size large T-shirts.
- Approximately 80.00% of T-shirts the company makes should be medium and large T-shirts to match the market preference.
- If the total number of T-shirts sold in a month is 45,000, 3,300 of these will likely be size small.

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