Answer :
Let's solve this problem step by step to find out how many people in the survey worked on election day.
1. Determine the total number of people surveyed:
- From the problem, we are told that 50 people who voted and 85 people who did not vote were surveyed.
- Adding these two groups together, we get:
[tex]\[ \text{Total surveyed} = 50 + 85 = 135 \][/tex]
2. Understand the proportion who worked on election day:
- According to the table provided, the proportion of people who worked on election day is given as 0.49 (49%).
3. Calculate the actual number of people who worked on election day:
- We need to find 49% of the total number of people surveyed.
- This can be calculated by multiplying the total number of people surveyed (135) by the proportion who worked on election day (0.49):
[tex]\[ \text{Number who worked on election day} = 135 \times 0.49 \][/tex]
4. Perform the multiplication:
- When you multiply 135 by 0.49, you get:
[tex]\[ 135 \times 0.49 = 66.15 \][/tex]
5. Interpret the result:
- Since we are dealing with the number of people, the result should be a whole number. Therefore, we round 66.15 to the nearest whole number, which is:
[tex]\[ 66 \][/tex]
Final Answer:
The number of people in the survey who worked on election day is 66. Thus, the correct choice is:
```
66
```
1. Determine the total number of people surveyed:
- From the problem, we are told that 50 people who voted and 85 people who did not vote were surveyed.
- Adding these two groups together, we get:
[tex]\[ \text{Total surveyed} = 50 + 85 = 135 \][/tex]
2. Understand the proportion who worked on election day:
- According to the table provided, the proportion of people who worked on election day is given as 0.49 (49%).
3. Calculate the actual number of people who worked on election day:
- We need to find 49% of the total number of people surveyed.
- This can be calculated by multiplying the total number of people surveyed (135) by the proportion who worked on election day (0.49):
[tex]\[ \text{Number who worked on election day} = 135 \times 0.49 \][/tex]
4. Perform the multiplication:
- When you multiply 135 by 0.49, you get:
[tex]\[ 135 \times 0.49 = 66.15 \][/tex]
5. Interpret the result:
- Since we are dealing with the number of people, the result should be a whole number. Therefore, we round 66.15 to the nearest whole number, which is:
[tex]\[ 66 \][/tex]
Final Answer:
The number of people in the survey who worked on election day is 66. Thus, the correct choice is:
```
66
```