Question

Question
Use the table to answer the question.

Calculating the overall participant count using the provided two-way table.
Apples Banana Oranges Totals
7th graders 44 120
8th graders 35 46
Totals 72 71
Constructing the two-way table, how many total people answered this survey about their fruit preference?

(1 point)
Responses

229
229

125
125

263
263

120

Answer 1

To calculate the total number of participants in the survey based on the two-way table, we need to sum up all the values in the table. The table is given as:

```
Apples Banana Oranges Totals
7th graders 44 ? ? 120
8th graders ? 35 46 ?
Totals 72 ? 71
```

From the totals of the rows and columns, we can gather the following:

1. For the 7th graders, the total is given as 120.
2. For the 8th graders, the total is not provided but can be calculated.
3. For the total of apples, it is 72. For bananas, it is not provided but can be calculated, and for oranges, it is 71.

Let's fill in the missing numbers to determine the total:

1. Calculate the number of bananas for 7th graders:
Since the total for 7th graders is 120 and we know that they like apples (44), the number of bananas and oranges combined would be:
\[
120 - 44 = 76
\]

2. Now we can fill in the bananas and oranges for 8th graders.
The total for oranges is 71, and since 8th graders like 46 oranges, the number of oranges preferred by 7th graders must be:
\[
71 - 46 = 25
\]
Therefore, the total bananas for 7th graders is:
\[
76 - 25 = 51
\]

So now we update the table:

```
Apples Banana Oranges Totals
7th graders 44 51 25 120
8th graders ? 35 46 ?
Totals 72 ? 71
```

3. For the bananas total:
The total number of bananas is not provided, but we have 51 (7th) + 35 (8th) = 86.

4. Adding totals:
- 7th graders total = 120
- 8th graders total = 35 (bananas) + 46 (oranges) + unknown (apples) = ?
- Apples total = 72 (so 72 - 44 = 28).
- Therefore, the total number of participants:
\[
Total = (\text{7th graders total} + \text{8th graders total}) = (120 + (28 + 35 + 46)) = 120 + 109 = 229
\]

Thus, the total number of people who answered the survey is **229**.