To find the total number of seventh graders who prefer bananas, we can start by analyzing the given table.
The table shows the totals:
- Total number of 7th graders = 120
- Total number of 8th graders = Totals for bananas and oranges (which can be derived from the total counts).
We know:
- Total number of apples = 72
- Total number of bananas = 35 (8th graders)
- Total number of oranges = 71
Since the total for 7th graders is 120, we can calculate the number of 7th graders who prefer bananas.
Looking at the total number of fruit preferences and students:
- Calculate how many 7th graders like bananas:
- 120 (total 7th graders) = 44 (who like apples) + (number who like bananas) + (number who like oranges)
- We know the total for 7th graders in oranges is calculated by deduction from the row and column totals:
- 120 - 44 (apples) = 76
- Now, we can derive the number of 7th graders who like oranges:
- For oranges, we have a total of 71, of which some belong to 8th graders.
So:
- Let's determine how many 7th graders prefer oranges:
- The total for oranges is 71, and out of that, 46 are 8th graders.
- Therefore, the number of 7th graders who like oranges = 71 - 46 = 25.
Now we can find the number of 7th graders who prefer bananas:
- Total 7th graders = 120
- Total who prefer apples = 44
- Total who prefer oranges = 25
Thus, the number of 7th graders who prefer bananas = 120 - 44 - 25 = 51.
Based on this calculation, the total number of seventh graders who prefer bananas is:
51