To determine which given percentages correspond to the specific descriptions, we start with the key data from the table and the descriptions provided. Let's break down each description one by one:
1. Percentage of workers who prefer chicken soup who are part-time:
- Total workers who prefer chicken soup: [tex]\(100\)[/tex]
- Part-time workers who prefer chicken soup: [tex]\(35\)[/tex]
Calculate the percentage:
[tex]\[
\left( \frac{35}{100} \right) \times 100 = 35\%
\][/tex]
Hence, the percentage of workers who prefer chicken soup who are part-time is [tex]\(35\%\)[/tex].
2. Percentage of workers who prefer lentil soup who are full-time:
- Total workers who prefer lentil soup: [tex]\(110\)[/tex]
- Full-time workers who prefer lentil soup: [tex]\(25\)[/tex]
Calculate the percentage:
[tex]\[
\left( \frac{25}{110} \right) \times 100 \approx 22.7\%
\][/tex]
Hence, the percentage of workers who prefer lentil soup who are full-time is [tex]\(22.7\%\)[/tex].
3. Percentage of part-time workers who prefer tomato soup:
- Total part-time workers: [tex]\(230\)[/tex]
- Part-time workers who prefer tomato soup: [tex]\(70\)[/tex]
Calculate the percentage:
[tex]\[
\left( \frac{70}{230} \right) \times 100 \approx 30.4\%
\][/tex]
Hence, the percentage of part-time workers who prefer tomato soup is [tex]\(30.4\%\)[/tex].
4. Percentage of full-time workers who prefer mushroom soup:
- Total full-time workers: [tex]\(270\)[/tex]
- Full-time workers who prefer mushroom soup: [tex]\(55\)[/tex]
Calculate the percentage:
[tex]\[
\left( \frac{55}{270} \right) \times 100 \approx 20.4\%
\][/tex]
Hence, the percentage of full-time workers who prefer mushroom soup is [tex]\(20.4\%\)[/tex].
Here’s a summary of the matched descriptions and their percentages:
1. Percentage of workers who prefer chicken soup who are part-time: 35\%
2. Percentage of workers who prefer lentil soup who are full-time: 22.7\%
3. Percentage of part-time workers who prefer tomato soup: 30.4\%
4. Percentage of full-time workers who prefer mushroom soup: 20.4\%
