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%.)
cool. what's the question?
How many of the students surveyed liked football?
32% liked both, 16% liked only football.
So, 48% liked football (and maybe baseball)
Steve,
Is there a way to find out how many liked football only. How do you separate the "both" number to find football only?
To find out how many students surveyed like football, we need to calculate the percentage of students who like football based on the given information.
First, let's analyze the information from the Venn diagram:
- We know that 28% of the students surveyed liked baseball.
- We also know that 16% of the students liked football.
- Finally, we know that 32% liked both baseball and football.
The percentage marked in the corner of the Venn diagram (24%) represents the students who like neither baseball nor football. In other words, it is the percentage of students who like something other than baseball or football.
We can see that the percentage of students who like baseball, football, or both is 76% (as 24% represents the "other" category).
To determine how many students surveyed like football, we can subtract the students who like baseball and both sports from the total percentage who like baseball, football, or both:
Percentage who like football = Percentage who like football, baseball, or both - Percentage who like baseball - Percentage who like both
Percentage who like football = 16% - 28% - 32%
Percentage who like football = -44%
We have a negative value, which is not possible. This means that there is an inconsistency in the given information or the calculation, as the percentages provided are not valid.
To find the correct answer, we would need revised or accurate percentages for baseball, football, and both, or any additional information necessary to solve the problem accurately.