To construct the two-way table and determine the total number of eighth graders, we can fill in the missing values.
From the table:
- The total number of students on Friday is 52.
- The number of 7th graders on Friday is 24.
To find the number of 8th graders on Friday, we can subtract the number of 7th graders from the total for Friday:
Total (Friday) - 7th graders (Friday) = 8th graders (Friday)
52 - 24 = 28
Now we know:
- 7th graders (Friday): 24
- 8th graders (Friday): 28
Now let's look at Saturday. We know:
- The total number of 8th graders is 35 (given in the table).
- Since the total for Saturday is still unknown, we can denote the number of 7th graders on Saturday as X (which we don't know yet).
The total number of students (total for Saturday) would be:
7th graders (Saturday) + 8th graders (Saturday) = Total (Saturday)
We know:
- 8th graders (Saturday) = 35.
So the equation for Saturday becomes:
X + 35 = Total (Saturday)
To find the Saturday total, we need the number of 7th graders on Saturday. However, there is no value for Saturday given in the table yet, which means we cannot determine a value for the total number of 8th graders just based on this data alone.
Looking at the 8th graders, the only provided information is 35 (which is included in the table). Thus, the total number of 8th graders is simply:
35
So, the correct answer is:
35