Question

Use the table to answer the question.

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

125
125

229
229

120
120

263

Answer 1

To find the total number of people who answered the survey, we can fill in the missing values in the two-way table and then sum all the values.

From the table:
- 7th graders: 44 Apples, (missing Bananas), (missing Oranges), Total = 120
- 8th graders: (missing Apples), 35 Bananas, 46 Oranges, Total = (missing)

We can fill in the missing values:

1. For the 7th graders:
- Total responses = 120
- Apples = 44
- Bananas = (Total - Apples - Oranges)
- Let’s denote the missing value for Bananas as B and for Oranges as O.
Thus, \( 44 + B + O = 120 \)
Therefore, \( B + O = 120 - 44 \)
\( B + O = 76 \)

2. For the 8th graders:
- Total responses:
- Apples = (missing), Bananas = 35, Oranges = 46
- Let’s denote the missing value for Apples as A.
Thus, \( A + 35 + 46 \)
Therefore, \( A + 81 = \) (missing total for 8th graders)

We already have the total for all responses:
- Apples = 72 (total)
- 7th graders: 44 from Apples = 44
- 8th graders: So, \( A + 44 = 72 \)

From this:
- \( A = 72 - 44 = 28 \).

Now we can sum the totals:

- **7th graders:**
- Apples: 44
- Bananas: B
- Oranges: O
- Total: 120

- **8th graders:**
- Apples: 28
- Bananas: 35
- Oranges: 46
- Total:
\[ 28 + 35 + 46 = 109 \]

Now add the totals of each grade:
- Total responses = \( 120 + 109 = 229 \)

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