26 people surveyed, 19 said they like basketball, 12 said they like football, and 5 said they like both. How many people said they like basketball but not football?
Use Venn diagrams
put 5 in the intersection of the two circles
the basketball circle should have 19, but we have already placed 5 of those,
That leaves 14 in the part of only basketball
So 14 like basketball, but not football
To find the number of people who said they like basketball but not football, we need to subtract the number of people who said they like both from the total number of people who said they like basketball.
Total number of people who said they like basketball: 19
Number of people who said they like both basketball and football: 5
The number of people who said they like basketball but not football would be the difference between these two numbers:
19 - 5 = 14
Therefore, 14 people said they like basketball but not football.
To find out how many people said they like basketball but not football, we need to subtract the number of people who like both from the total number of people who like basketball.
First, let's find the number of people who like basketball:
Out of the 26 people surveyed, 19 said they like basketball.
Next, let's find the number of people who like both basketball and football:
Out of the 26 people surveyed, 5 said they like both sports.
Now, we can calculate the number of people who like basketball but not football by subtracting the number of people who like both from the total number of people who like basketball:
19 (people who like basketball) - 5 (people who like both) = 14
Therefore, 14 people said they like basketball but not football.
You can use this approach for similar scenarios by following these steps:
1. Determine the total number of people surveyed.
2. Find the number of people who like Sport A.
3. Find the number of people who like both Sport A and Sport B.
4. Subtract the number of people who like both sports from the total number of people who like Sport A to determine the number of people who like Sport A but not Sport B.