Jill asked 60 tenth and eleventh graders whether they have a part-time job or not. The table shows some of the results. Complete the table.
Has part-time job
Tenth grade:
Eleventh grade: 20
Total:
Does not have part-time job
Tenth grade:
Eleventh grade:
Total: 30
Total: 60
To complete the table, we need to fill in the missing values based on the information given. Let’s break it down step by step:
1. Total Students: 60
2. Does not have part-time job Total: 30
3. Total with part-time job: Since there are 60 students and 30 do not have a part-time job, the number of students who have a part-time job is:
[
60 – 30 = 30
]
Now, we can set up the known values:
– Eleventh grade with part-time job: 20
– Therefore, Tenth grade with part-time job can be calculated as:
[
30 text{ (Total with part-time job)} – 20 text{ (Eleventh grade)} = 10 text{ (Tenth grade)}
]
4. Now we can find out the numbers for those without part-time jobs. Since we know the total of those without part-time jobs is 30:
– Let’s denote Tenth grade without part-time job as (x).
– So, for Eleventh grade without part-time job, it will be:
[
30 – x
]
Next, we know the total for each grade:
– The total for Tenth grade with and without part-time jobs must sum to:
[
10
To complete the table, we need to analyze the information given.
1. We know that 60 students were surveyed:
– Total students = 60
2. Out of these 60 students, 30 do not have a part-time job. Therefore, the number of students who have a part-time job is:
– Total with part-time job = Total students – Total without part-time job
– Total with part-time job = 60 – 30 = 30
3. We are given that 20 eleventh graders have a part-time job. To find the number of tenth graders with a part-time job, we subtract the number of eleventh graders from the total with a part-time job:
– Tenth graders with part-time job = Total with part-time job – Eleventh graders with part-time job
– Tenth graders with part-time job = 30 – 20 = 10
4. Since there are 30 students total who do not have a part-time job, we need to distribute this number among the tenth and eleventh graders. We can assume for simplicity that the remaining students, who are not counted under “Has part-time job,” are all the tenth graders:
– Total tenth graders = Total students – Eleventh graders = 60 – (20 + X) where X is the number of tenth graders without part-time jobs
– We need to find how many tenth graders do not have a part-time job.