100 eighth grade students were interviewed about their favorite subject at school. 45 said Math, 70 said English, and 5 said neither. Using a Venn diagram, how many said both?
95 said something
70+45=115, so 20 said both
Steve is correct it's 20.
To find out how many students said both Math and English, we can use a Venn diagram. A Venn diagram is a graphical representation that uses circles to show the relationships between different sets or groups.
First, draw two overlapping circles. Label one circle "Math" and the other circle "English." The overlapping area represents the students who like both Math and English.
Next, fill in the given information. We know that 45 students said Math and 70 students said English. To represent this, write "45" in the "Math" circle and "70" in the "English" circle.
Now, we need to determine how many students said neither Math nor English. The question states that 5 students said neither. To represent this, write "5" outside of both circles.
Finally, find the overlapping area between the two circles. This region represents the number of students who said both Math and English. Count the number of students in this region.
Once we complete the Venn diagram, you will find that the number of students who said both Math and English is 10.