Multiple Choice
Eighteen students in a class play baseball. Seventeen students in the class play basketball. Thirty students in the class play either or both sports.
Select the Venn diagram that shows the number of students who play basketball and baseball.
A. Venn Diagram ATo the left of the circle on the left is the word Baseball. To the right of the circle on the right is the word Basketball. The number 13 is inside the circle on the left but not inside the circle on the right. The number 12 is inside the circle on the right but not inside the circle on the left. The number 5 is inside the area where both circles overlap.
B. Venn Diagram BTo the left of the circle on the left is the word Baseball. To the right of the circle on the right is the word Basketball. The number 13 is inside the circle on the left but not inside the circle on the right. The number 11 is inside the circle on the right but not inside the circle on the left. The number 6 is inside the area where both circles overlap.
C. Venn Diagram CTo the left of the circle on the left is the word Baseball. To the right of the circle on the right is the word Basketball. The number 14 is inside the circle on the left but not inside the circle on the right. The number 12 is inside the circle on the right but not inside the circle on the left. The number 4 is inside the area where both circles overlap.
D. Venn Diagram DTo the left of the circle on the left is the word Baseball. To the right of the circle on the right is the word Basketball. The number 12 is inside the circle on the left but not inside the circle on the right. The number 11 is inside the circle on the right but not inside the circle on the left. The number 4 is inside the area where both circles overlap.
B. Venn Diagram B shows the number of students who play basketball and baseball.
To determine which Venn diagram shows the number of students who play basketball and baseball, we can analyze the information given in the question.
According to the question, there are 18 students who play baseball, 17 students who play basketball, and 30 students who play either or both sports.
We need to find a Venn diagram that correctly represents these numbers.
Let's analyze each option:
A. In this diagram, there are 13 students who play baseball only, 12 students who play basketball only, and 5 students who play both sports. This does not align with the given information because it states that there are 18 students who play baseball, not 13.
B. In this diagram, there are 13 students who play baseball only, 11 students who play basketball only, and 6 students who play both sports. Again, this does not match the given information because there are 18 students who play baseball, not 13.
C. In this diagram, there are 14 students who play baseball only, 12 students who play basketball only, and 4 students who play both sports. This matches the given information: 14 (baseball only) + 4 (both sports) = 18 (total students who play baseball), and 12 (basketball only) + 4 (both sports) = 16 (total students who play basketball). Therefore, this diagram is a possible representation.
D. In this diagram, there are 12 students who play baseball only, 11 students who play basketball only, and 4 students who play both sports. This does not match the given information because there are 18 students who play baseball, not 12.
Based on the analysis, the Venn diagram that correctly represents the number of students who play basketball and baseball is Option C