Question

This table tracks the food preference of 7th and 8th students.

7th graders: Pizza 24 Tacos ? Chicken ? Total students120
8th graders: Pizza ? Tacos 35 Chicken 46 Total students ?
Totals: Pizza 52 Tacos ? Chicken 71 Total students ?
Constructing the two-way table, what is the total amount of people who like tacos?

Answer 1

To solve this problem, we'll start by filling in the missing information for both 7th and 8th graders based on the totals we have.

### Given Data
- **7th Graders:**
- Pizza: 24
- Tacos: ?
- Chicken: ?
- Total: 120

- **8th Graders:**
- Pizza: ?
- Tacos: 35
- Chicken: 46
- Total: ?

- **Totals:**
- Pizza: 52
- Tacos: ?
- Chicken: 71
- Total: ?

### Step 1: Calculate Total Students by Grade
From the totals we know:

1. **7th graders' total = 120**
2. **Total for pizza = 52**
- From the 7th graders, we know 24 students like pizza.
- Therefore, **Pizza for 8th graders = 52 - 24 = 28**.

3. **Total for Chicken = 71**
- We know that for 8th graders, 46 students like chicken.
- Therefore, **Chicken for 7th graders = 71 - 46 = 25**.

### Step 2: Fill in the Totals for 7th Graders
Now we have:

- **7th Graders:**
- Pizza: 24
- Chicken: 25
- Tacos: ?
- Total = 120

We can find tacos for 7th graders by:

\[
\text{Tacos for 7th} = 120 - (Pizza + Chicken) = 120 - (24 + 25) = 120 - 49 = 71
\]

So the food preference for 7th graders is:

- **Pizza: 24**
- **Tacos: 71**
- **Chicken: 25**

### Step 3: Calculate Total Tacos
Now, going back to the totals:

From 8th graders:

- Total tacos from 8th graders = 35 (already provided)
- Total tacos from 7th graders = 71 (calculated above)

### Step 4: Calculate Total Tacos
Finally, add the number of students who like tacos from both grades:

\[
\text{Total Tacos} = \text{Tacos from 7th} + \text{Tacos from 8th} = 71 + 35 = 106
\]

### Conclusion
The total amount of people who like tacos is **106**.