To determine the total amount of people who like tacos, we need to complete the two-way table. Here is the completed two-way table based on the given information:
| | Pizza | Tacos | Chicken | Totals |
|----------|-------|-------|---------|--------|
| 7th graders | ? | ? | ? | 120 |
| 8th graders | ? | 35 | 11 | 46 |
| Totals | 52 | ? | 71 | ? |
To complete the table:
1. Since the total number of 7th graders is 120, and the total number of 8th graders is 46, the total number of students is 120 + 46 = 166.
2. We know the total number of people who like pizza is 52, so to find the number of 7th graders who like pizza, we subtract the number of 8th graders who like pizza from the total: 52 - 35 = 17.
3. Similarly, to find the unknown numbers in the table, we need to subtract known values from the row and column totals.
The completed table with the total amount of people who like tacos will be:
| | Pizza | Tacos | Chicken | Totals |
|----------|-------|-------|---------|--------|
| 7th graders | 17 | 24 | 79 | 120 |
| 8th graders | 35 | 35 | 46 | 46 |
| Totals | 52 | 59 | 125 | 166 |
Thus, the total amount of people who like tacos is 59. The correct answer is not among the one provided.