Use the table to answer the 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.

(1 point)
Responses

28
28

63
63

59
59

35

1 answer

To determine the total number of eighth graders, we can analyze the information given in the table.

We have:

  • Total attendance on Friday: 52
  • 7th graders on Friday: 24

To find the number of 8th graders on Friday, we use the total number of attendees:

Total attendees on Friday = 7th graders on Friday + 8th graders on Friday

Therefore, we can set up the equation:

52 (total on Friday) = 24 (7th graders) + (8th graders on Friday)

Let \( x \) represent the number of 8th graders on Friday:

52 = 24 + x x = 52 - 24 x = 28

So, there are 28 8th graders attending on Friday.

Next, we already know that there are 35 8th graders attending on Saturday from the table.

Now, we can find the total number of 8th graders by adding those attending on Friday and those attending on Saturday:

Total 8th graders = 8th graders on Friday + 8th graders on Saturday Total 8th graders = 28 + 35 = 63

Thus, the total number of eighth graders is 63.