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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

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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




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2 Answers

  1. 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

  2. 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.

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