Final answer:
To find the number of people who like both volleyball and football, we can use a Venn diagram to visually represent the information and find the overlapping area between the two groups.
Step-by-step explanation:
The given problem can be solved using a Venn diagram. We can represent the group of people who like volleyball as A, the group of people who like football as B, and the group of people who like neither as C. From the information given, we know that 120 people like volleyball, 85 people like football, and 25 people like neither. To find the number of people who like both games, we need to find the overlap between A and B. By subtracting the number of people who like neither from the total number of people, we can find the overlap.
Let's construct a Venn diagram to visually represent the information. Draw two circles, one labeled A for volleyball and one labeled B for football. The overlapping area of the circles represents the individuals who like both games. From the diagram, we can see that the size of the overlap is 120 - 25 = 95 people like both volleyball and football. Therefore, there are 95 people who like both games.