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

229
229

125
125

263
263

120

1 answer

To find the total number of people who answered the survey, we can look at the totals provided in the table.

The total number of responses from the 7th graders is 120. The total number of responses from the 8th graders is not directly given, but we can calculate it using the totals for the fruits.

The total for apples is 72, which corresponds to 44 from 7th graders, so 72 - 44 = 28 for 8th graders.

The total for bananas is 35, and that is from the 8th graders. Therefore, for bananas, we have 0 from 7th graders.

The total for oranges is 71 which corresponds to 71 - 46 = 25 for 7th graders.

Now we can fill in the matrix with the numbers we deduced:

  • Total for 7th graders: 44 (Apples) + 0 (Bananas) + 25 (Oranges) = 69
  • Total for 8th graders: 28 (Apples) + 35 (Bananas) + 46 (Oranges) = 109

Finally, we can compute the total number of people who answered the survey by summing the totals from 7th and 8th graders: Total = 120 (7th graders) + (28 + 35 + 46 = 109 for 8th graders)

Total = 120 + 109 = 229.

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