To complete the two-way table, we need to fill in the missing values for the 7th and 8th graders' attendance on both Friday and Saturday.
Here is what we have in the table:
- 7th graders on Friday: 24
- Total on Friday: 52
- 8th graders on Saturday: 35
- Total on Saturday: unknown
- Total of 7th graders: unknown
- Total of 8th graders: unknown
Fill in the table
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Calculate the number of 7th graders who attended on Saturday:
- Since the total number of students on Friday is 52 and there are 24 7th graders, the number of 8th graders on Friday is: \( 52 - 24 = 28 \)
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Calculate the total number of students (7th and 8th graders) on Saturday:
- We know that there are 35 8th graders on Saturday.
- Let \( x \) be the number of 7th graders on Saturday.
- The total students on Saturday should equal the total students on Friday, which is 52. Therefore, we have the equation: \( x + 35 = 52 \)
- Solving for \( x \), we get: \( x = 52 - 35 = 17 \)
Thus, we find:
- 7th graders on Saturday: 17
- 8th graders on Friday: 28
- 7th graders on Friday: 24
- 8th graders on Saturday: 35
Fill in the totals:
- Total 7th graders: \( 24 + 17 = 41 \)
- Total 8th graders: \( 28 + 35 = 63 \)
- Total on Saturday: \( 17 + 35 = 52 \) (which is consistent with Friday)
Final Completed Two-Way Table:
| | Friday | Saturday | Totals | |----------------|--------|----------|--------| | 7th graders | 24 | 17 | 41 | | 8th graders | 28 | 35 | 63 | | Totals | 52 | 52 | 104 |
So, the total number of eighth graders is 63.