Please show me how to solve:

Hannah took a survey of 500 students at her school to find out whether they liked baseball or football. The results are shown in the Venn diagram. How many of the students surveyed like football? 28% liked baseball, 32% liked both, 16% liked football. (in the corner of the Venn diagram is marked 24% because the three percentages equal 76%.) How many of the students liked football.

Also, Please explain how you separate both of 32% to only get football.

To find out how many of the surveyed students liked football, we can use the information given in the Venn diagram. Let's break it down step by step:

Step 1: Analyze the information given:
- 28% liked baseball
- 32% liked both baseball and football
- 16% liked football
- The total percentages for these three categories add up to 76%

Step 2: Identify the overlapping area:
The overlapping area in the center represents the students who like both baseball and football. We need to separate this portion to determine the percentage of students who like only football.

Step 3: Calculate the percentage of students who like only football:
To find the percentage of students who like only football, we need to subtract the percentage of students who like both baseball and football (32%) from the percentage of students who like football (16%).

16% - 32% = -16%

Since we cannot have a negative percentage, this means that the percentage of students who like only football is 0%.

Step 4: Calculate the percentage of students who like football:
Now, add the percentage of students who like both baseball and football (32%) to the percentage of students who like only football (0%).

32% + 0% = 32%

Therefore, 32% of the surveyed students like football.

To summarize, to separate the percentage of students who like only football, you subtract the percentage of students who like both baseball and football from the percentage of students who like football. In this case, 16% - 32% = 0%. Then, you add this result to the percentage of students who like both baseball and football to get the overall percentage of students who like football, which is 32%.