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

86
86

69
69

25
25

51
51
which one chose

1 answer

To find the total number of seventh graders who prefer bananas, we can analyze the provided data in the table.

From the table:

  • The total number of 7th graders is 120.
  • The total number of bananas preferred by both 7th and 8th graders is 35 (from 8th graders).

Since the table does not specify how many 7th graders prefer bananas, we can denote that value as \(X\). Hence, the total number of bananas preferred (35) plus the number of 7th graders who prefer bananas (\(X\)) should equal the total for bananas:

\[ X + 35 = \text{(total number of bananas)} \]

However, we know that the total number of bananas (the sum of both grades) is not specified.

With the provided options:

  • 86
  • 69
  • 25
  • 51

It is not possible to derive any conclusion from the table as the values for 7th graders' preferences haven't been given directly for bananas. Based on the data presented, we do not have enough information to answer this question correctly, as we know 35 prefers bananas amongst the 8th graders but have no numbers correlating to the 7th graders.

Thus, based on this information, it's not feasible to determine how many 7th graders prefer bananas given the options provided.

In general conclusion, the total number of seventh graders who prefer bananas is not defined with the data provided.