in a survey, 15 people said they played basketball, hockey and volleyball. in addition 20 people said they played basketball and hockey. draw a venn diagram to determine how many people in the survey said they played only basketball and hockey.
draw it but
15 play all three
20 play b ball and hockey of which 15 are in all three
so 5 play only b ball and hockey
To determine how many people in the survey said they played only basketball and hockey, we can use a Venn diagram.
First, draw three overlapping circles to represent basketball, hockey, and volleyball. Label them accordingly.
Next, fill in the given information. We know that 15 people said they played all three sports (basketball, hockey, and volleyball), so write "15" in the overlapping region of all three circles.
Then, we know that 20 people said they played basketball and hockey. So, in the overlapping region between basketball and hockey, write "20".
To find the number of people who play only basketball and hockey, we need to focus on the part of the basketball circle that does not overlap with the volleyball circle and the part of the hockey circle that does not overlap with the volleyball circle. This is because we want to exclude anyone who plays volleyball from our count.
Now, we need to do some calculations.
Let's assume the number of people who play only basketball and hockey is "x".
From the information given, we can set up the following equations:
x (only basketball and hockey) + 15 (basketball, hockey, and volleyball) + 20 (basketball and hockey) = total number of people in the entire survey
To solve for "x", we need to know the total number of people in the survey. Do you have that information?