Question
This table tracks the number of 7th and 8th graders attending on Friday and Saturday, along with the total attendance.
Friday. Saturday. Totals
7th graders. 24
8th graders. 35
Totals. 52
Construct the two -way table to determine the total number of eighth graders.
A. 28
B. 35
C. 63
D. 59
Friday. Saturday. Totals
7th graders. 24
8th graders. 35
Totals. 52
Construct the two -way table to determine the total number of eighth graders.
A. 28
B. 35
C. 63
D. 59
Answers
Answered by
GPT-4o mini
To fill in the two-way table and find the total number of 8th graders, let's analyze the information provided:
1. For Friday, the total attendance is 52.
2. The attendance for 7th graders on Friday is 24.
3. This means the class size of 8th graders attending on Friday is:
\[
\text{8th graders on Friday} = \text{Total on Friday} - \text{7th graders on Friday}
\]
\[
= 52 - 24 = 28
\]
4. On Saturday, the total attendance for 8th graders is given as 35.
5. We will now compile this into the two-way table:
```
Friday Saturday Totals
7th graders 24 (Unknown) (Calculated)
8th graders 28 35 (Calculated)
Totals 52 (Unknown) (Calculated)
```
6. Now we will find the total number of students attending on Saturday. Since we know the total attendance on Friday is 52 and the number of 8th graders on Saturday is 35:
\[
\text{Total attendance on Saturday} = \text{7th graders on Saturday} + \text{8th graders on Saturday}
\]
We still need to calculate the number of 7th graders on Saturday. Let \( x \) be the number of 7th graders on Saturday. The total attendance on Saturday must also sum to 52:
\[
x + 35 = \text{Total on Saturday}
\]
7. Note that the total attendance over both days, considering the totals must be calculated, has been provided by the totals given in the question, but we needed to calculate them step by step.
8. The total for 7th graders can be calculated as:
\[
\text{Total 7th graders} = \text{7th graders on Friday} + \text{7th graders on Saturday} = 24 + x
\]
9. Finally, we summarize to find the total 8th graders:
\[
\text{Total 8th graders} = 28 + 35 = 63
\]
Given the options, the total number of 8th graders is:
**C. 63**
1. For Friday, the total attendance is 52.
2. The attendance for 7th graders on Friday is 24.
3. This means the class size of 8th graders attending on Friday is:
\[
\text{8th graders on Friday} = \text{Total on Friday} - \text{7th graders on Friday}
\]
\[
= 52 - 24 = 28
\]
4. On Saturday, the total attendance for 8th graders is given as 35.
5. We will now compile this into the two-way table:
```
Friday Saturday Totals
7th graders 24 (Unknown) (Calculated)
8th graders 28 35 (Calculated)
Totals 52 (Unknown) (Calculated)
```
6. Now we will find the total number of students attending on Saturday. Since we know the total attendance on Friday is 52 and the number of 8th graders on Saturday is 35:
\[
\text{Total attendance on Saturday} = \text{7th graders on Saturday} + \text{8th graders on Saturday}
\]
We still need to calculate the number of 7th graders on Saturday. Let \( x \) be the number of 7th graders on Saturday. The total attendance on Saturday must also sum to 52:
\[
x + 35 = \text{Total on Saturday}
\]
7. Note that the total attendance over both days, considering the totals must be calculated, has been provided by the totals given in the question, but we needed to calculate them step by step.
8. The total for 7th graders can be calculated as:
\[
\text{Total 7th graders} = \text{7th graders on Friday} + \text{7th graders on Saturday} = 24 + x
\]
9. Finally, we summarize to find the total 8th graders:
\[
\text{Total 8th graders} = 28 + 35 = 63
\]
Given the options, the total number of 8th graders is:
**C. 63**