The number of workers in two departments X and Y with different experience levels is shown in the table below: | Experience Level | Dept X | Dept Y | |------------------|--------|--------| | 10 years | 5 | 4 | What is the ratio of workers with less than 10 years experience in Dept X to Dept Y?

Question

The number of workers in two departments X and Y with different experience levels is shown in the table below:

| Experience Level | Dept X | Dept Y |
|------------------|--------|--------|
| < 5 years        | 8      | 6      |
| 5-10 years       | 12     | 10     |
| > 10 years       | 5      | 4      |

What is the ratio of workers with less than 10 years experience in Dept X to Dept Y?

Accepted Answer

**Solution:**

1. Calculate the total number of workers with less than 10 years experience in Dept X:
   - Workers with < 5 years experience = 8
   - Workers with 5-10 years experience = 12
   - Total in Dept X = 8 + 12 = 20

2. Calculate the total number of workers with less than 10 years experience in Dept Y:
   - Workers with < 5 years experience = 6
   - Workers with 5-10 years experience = 10
   - Total in Dept Y = 6 + 10 = 16

3. Find the ratio of workers with less than 10 years experience in Dept X to Dept Y: $$ 	ext{Ratio} = \frac{20}{16} = \frac{5}{4} $$ **Answer:** 5 : 4

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