unit 6 lesson 3 math
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eighteen students in a class play baseball. seventeen students in a class play basketball. Thirty students in a class play either or both sports.
We can use a Venn diagram to solve the problem.
First, draw a rectangle to represent all the students in the class. Then, draw two circles to represent the students who play baseball and the students who play basketball. The overlapping area represents the students who play both sports.
Next, we can fill in the information we were given. We know that there are 18 students who play baseball and 17 students who play basketball. So we can write that number in each of the circles.
Now we know that there are a total of 30 students who play either baseball or basketball, but we don't know how many play both. However, we can figure it out using the information we already have. If we add up the number of students in each circle (18+17), we get 35. But we know that there are only 30 students who play either sport, so we have to subtract the number of students who play both.
35 - x = 30, where x is the number of students who play both sports.
Solving for x, we get:
x = 5
So there are 5 students who play both baseball and basketball. We can write that number in the overlapping area of the circles.
Finally, we can add up all the numbers in the circles to find the total number of students in the class who play baseball, basketball, or both:
18 + 17 - 5 = 30
So there are 30 students in the class who play either baseball or basketball or both.