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
A 51
B 69
C 25
D 86
To find the total number of seventh graders who prefer bananas, you need to look at the first row of the table, which contains the totals for seventh graders. The total number of seventh graders is 44, and the total number of apples preferred by seventh graders is 120. So, you need to subtract the number of apples preferred by seventh graders from the total number of seventh graders to find the number of seventh graders who prefer bananas.
44 - 120 = -76
Since the number of seventh graders who prefer bananas cannot be negative, it means that there must have been an error in the given data or the calculation. Please check the data and recalculate the answer.
To find the total number of seventh graders who prefer bananas, we need to look at the corresponding value in the two-way table. From the given information, we know that the number of seventh graders in total is 72, and the total number of bananas preferred by all students is 71.
To construct the two-way table, we need to fill in the values for apples, bananas, and oranges for both 7th and 8th graders.
Apples Banana Oranges Totals
7th graders 44 ? ?
8th graders 35 46 ?
Totals ? ? ?
We can fill in the missing values using the given information. The total number of apples preferred by all students is 72 (total for both 7th and 8th graders), and the total number of bananas preferred by all students is 71. So, if we subtract the number of apples preferred by 8th graders (35) from the total number of apples (72), we get: 72 - 35 = 37.
Apples Banana Oranges Totals
7th graders 44 ? ?
8th graders 35 46 ?
Totals 37 ? ?
Now, we can fill in the missing values for 7th graders. The total number of bananas preferred by all students is 71, and we already have the number of bananas preferred by 8th graders (46). So, if we subtract the number of bananas preferred by 8th graders (46) from the total number of bananas (71), we get: 71 - 46 = 25.
Apples Banana Oranges Totals
7th graders 44 25 ?
8th graders 35 46 ?
Totals 37 ? ?
Finally, we can find the total number of seventh graders who prefer bananas by adding up the number of bananas preferred by 7th graders (25) and the number of bananas preferred by 8th graders (46): 25 + 46 = 71.
Therefore, the correct answer is:
C) 25
To find the total number of seventh graders who prefer bananas, we need to look at the two-way table given. The table contains the number of apples, bananas, and oranges preferred by seventh and eighth graders.
The table given:
| Apples | Bananas | Oranges | Totals
------------------------------------------------
7th graders | 44 | 120 | ??? | ???
We can see that the total number of seventh graders is not provided directly in the table, but we are given the total number of seventh graders who prefer apples and bananas combined, which is 44.
To find the number of seventh graders who prefer bananas, we need to subtract the number of seventh graders who prefer apples from the total number of seventh graders.
Total seventh graders - Seventh graders who prefer apples = Seventh graders who prefer bananas
??? - 44 = Seventh graders who prefer bananas
Additionally, we are given the total number of eighth graders who prefer bananas, which is 35.
Next, we need to find the total number of bananas preferred by both seventh and eighth graders together. To do that, we add the number of seventh graders who prefer bananas to the number of eighth graders who prefer bananas.
Total number of bananas preferred by both grades = Seventh graders who prefer bananas + Eighth graders who prefer bananas
??? + 35 = Total number of bananas preferred by both grades
Lastly, we can find the total number of seventh graders who prefer bananas by subtracting the number of bananas preferred by both grades from the total number of bananas preferred by seventh and eighth graders combined.
Total number of seventh graders who prefer bananas = Total number of bananas preferred by seventh and eighth graders - Total number of bananas preferred by both grades
??? - (??? + 35) = Total number of seventh graders who prefer bananas
Therefore, based on the information given, it is not possible to determine the total number of seventh graders who prefer bananas without the missing values in the table.