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Use the table to answer the question.

This table tracks the fruit preference of 7th and 8th students
Apples Banana Oranges Totals
7th graders 44 120
8th graders 35 46
Totals 72 71
Constructing the two-way table, what is the total number of seventh graders who prefer bananas?

(1 point)
Responses

69
69

51
51

25
25

86

1 answer

To find the total number of seventh graders who prefer bananas, we can look at the information from the table. We know that:

  • The total number of 7th graders is 120.
  • The total number of students preferring bananas is 35 (8th graders).

Since the 7th graders' preferences for bananas are not directly provided, we can calculate the number of 7th graders who prefer bananas with the following approach:

We can start with the total number of students who prefer bananas. Since there are a total of 72 students who prefer apples, bananas, and oranges combined, we see that:

  1. The total preference for bananas = 35 (8th graders).
  2. The total number of students who prefer bananas from both grades = 35 (8th graders) + (number of 7th graders preferring bananas).

Given no number has been given for 7th graders preferring bananas, let's denote that number as \( x \).

Now, the total number of students preferring bananas combined from both grade levels is equal to the total we see on the table, which is:

\[ x + 35 = 72 \]

Using this equation, we can solve for \( x \):

\[ x = 72 - 35 \] \[ x = 37 \]

Therefore, the total number of seventh graders who prefer bananas is 37, which is not listed in the response options provided (69, 51, 25, 86).

None of the provided options match the answer calculated. Can you re-examine the information or clarify if there was omitted data?