What is the ratio between the average number of students enrolled with all colleges together in `2007` and `2008`, respectively?

Options

A. `108 : 113`
B. `108 : 117`
C. `110 : 113`
D. `111 : 113`

Answer

To find the ratio between the average number of students enrolled in all colleges together in 2007 and 2008, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Enrollment Data for 2007:**
- From the table, the number of students enrolled in 2007 are:
- College 1: 460
- College 2: 360
- College 3: 430
- College 4: 470
- College 5: 480

2. **Calculate the Total Enrollment for 2007:**
- Total = 460 + 360 + 430 + 470 + 480
- Total = 2200

3. **Calculate the Average Enrollment for 2007:**
- Average = Total Enrollment / Number of Colleges
- Average = 2200 / 5
- Average = 440

4. **Identify the Enrollment Data for 2008:**
- From the table, the number of students enrolled in 2008 are:
- College 1: 470
- College 2: 340
- College 3: 390
- College 4: 530
- College 5: 530

5. **Calculate the Total Enrollment for 2008:**
- Total = 470 + 340 + 390 + 530 + 530
- Total = 2260

6. **Calculate the Average Enrollment for 2008:**
- Average = Total Enrollment / Number of Colleges
- Average = 2260 / 5
- Average = 452

7. **Calculate the Ratio of Average Enrollments:**
- Ratio = Average in 2007 : Average in 2008
- Ratio = 440 : 452

8. **Simplify the Ratio:**
- To simplify, we can divide both sides by 4:
- Ratio = (440 ÷ 4) : (452 ÷ 4)
- Ratio = 110 : 113

### Final Answer:
The ratio between the average number of students enrolled in all colleges together in 2007 and 2008 is **110 : 113**.

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