To find the total number of seventh graders who prefer bananas, we can use the information provided in the table.
The row for 7th graders shows that the total is 120. We can calculate how many bananas they prefer by using the totals for all fruits and the total for 7th graders.
The totals for each fruit category in the columns:
- Total for Apples: 72
- Total for Bananas: (unknown)
- Total for Oranges: 71
From the totals provided in the table, we can see:
For the total number of 7th graders:
- Apples: 44
- Bananas: Unknown
- Oranges: Unknown
- Total: 120
To find the number of 7th graders who prefer bananas, we need to determine how many 7th graders prefer oranges.
Since the total for all fruits is 71 and we have:
- Total Apples = 72
- Total Oranges = 71
- Total for 7th graders = 120
To find the total number of bananas consumed by 7th graders, we can do the following:
- Sum the known values in the 7th grade row: 44 (Apples) + Unknown (Bananas) + Unknown (Oranges) = 120.
- We already know the total of oranges is 71, which is from both grades. Thus, we can calculate the 7th grade number of oranges.
From the total number of oranges:
- We add in the 8th graders' oranges (46).
- Therefore: 71 (total oranges) - 46 (8th graders) = 25 (7th graders).
Putting that back into the 7th-grade equation: 44 (Apples) + Bananas + 25 (Oranges) = 120
Bananas = 120 - 69 = 51.
So, the total number of seventh graders who prefer bananas is 51.
Therefore, the answer is: 51