Use the table to answer the question.

Question

Friday
Saturday
Totals
7th graders
24
8th graders
35
Totals
52
Construct the two-way table to determine the total number of eighth graders.
63
35
59
28

Answer 1

To construct a two-way table based on the information provided, we can set it up as follows:

              | 7th Graders | 8th Graders | Totals
---------------------------------------------------
Friday        |     24      |     35      |  59
Saturday      |     28      |      ?      |  52
---------------------------------------------------
Totals        |     ?       |     ?       |  63

Given Information:

• 7th Graders on Friday: 24
• 8th Graders on Friday: 35
• Total on Friday: 59
• Total on Saturday: 52

From the totals, we can determine:

1. Total 7th Graders: 24 (Friday) + 28 (Saturday) = Total 7th graders
2. Total 8th Graders: 35 (Friday) + ? (Saturday) = Total 8th graders
3. Overall, the total number of students is 63.

Solving for the Unknowns:

1. Calculating the Total Number of 7th Graders:

   • Total Number of 7th Graders = 24 (Friday) + 28 (Saturday) = 52

2. Calculating Total Number of 8th Graders:

   • For Saturday, the total = 52, and we already have 28 (7th graders).
   • Therefore, 8th Graders on Saturday = 52 - 28 = 24

3. Total Number of 8th Graders:

   • Total 8th Graders = 35 (Friday) + 24 (Saturday) = 59

Final Table:

Now filling in the calculated values:

              | 7th Graders | 8th Graders | Totals
---------------------------------------------------
Friday        |     24      |     35      |  59
Saturday      |     28      |     24      |  52
---------------------------------------------------
Totals        |     52      |     59      |  63

Answer:

The total number of eighth graders is 59.