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The cafeteria manager in an office building surveyed workers about their soup preferences. The results are shown in the table below:

| | Lentil | Mushroom | Chicken | Tomato | Total |
|---------------|--------|----------|---------|--------|-------|
| Part-time | 85 | 40 | 35 | 70 | 230 |
| Full-time | 25 | 5 | 65 | 125 | 270 |
| Total | 110 | 95 | 100 | 195 | 500 |

Use the information provided to match each description with the correct percentage of workers:

- 22.7%
- 20.4%
- 30.4%
- 25.1%
- 35%
- 18.3%
- 38.6%
- 30%

1. Percentage of full-time workers who prefer mushroom soup:
\_\_\_\_\_\_

2. Percentage of part-time workers who prefer tomato soup:
\_\_\_\_\_\_

Sagot :

To find the required percentages based on the given table, we'll follow these steps:

1. Find the Percentage of Full-Time Workers Who Prefer Mushroom Soup:

- The number of full-time workers who prefer mushroom soup is 5.
- The total number of full-time workers is 270.

To find the percentage:

[tex]\[ \text{Percentage of full-time workers who prefer mushroom soup} = \left(\frac{\text{Number of full-time mushroom soup lovers}}{\text{Total number of full-time workers}}\right) \times 100 \][/tex]

Substituting the values:

[tex]\[ \text{Percentage of full-time workers who prefer mushroom soup} = \left(\frac{5}{270}\right) \times 100 \approx 1.85\% \][/tex]

2. Find the Percentage of Part-Time Workers Who Prefer Tomato Soup:

- The number of part-time workers who prefer tomato soup is 70.
- The total number of part-time workers is 230.

To find the percentage:

[tex]\[ \text{Percentage of part-time workers who prefer tomato soup} = \left(\frac{\text{Number of part-time tomato soup lovers}}{\text{Total number of part-time workers}}\right) \times 100 \][/tex]

Substituting the values:

[tex]\[ \text{Percentage of part-time workers who prefer tomato soup} = \left(\frac{70}{230}\right) \times 100 \approx 30.43\% \][/tex]

Matching these percentages to the given options:

- Percentage of full-time workers who prefer mushroom soup: 1.85% (≈ 1.85\%)
- Percentage of part-time workers who prefer tomato soup: 30.4% (≈ 30.43\%)

In conclusion:

- Percentage of full-time workers who prefer mushroom soup [tex]$\xrightarrow{\longrightarrow} \text{1.85\% (≈ 1.85%) is not listed in the given options, so we can mention it as an additional result}$[/tex]
- Percentage of part-time workers who prefer tomato soup [tex]$\longrightarrow$[/tex] 30.4%

The matched results are:
- 1.85% (not in the given list)
- 30.4%
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