Final answer:
The group of students ate a total of 46 slices of pizza, assuming that each type of pizza was equally cut into 24 slices.
Step-by-step explanation:
To determine how many pieces of pizza were eaten, we need to consider each type of pizza separately. We are given that a group of students ate 5/12 of a cheese pizza, 7/8 of a pepperoni pizza, and 5/8 of a veggie pizza. However, the question does not provide the total number of pieces that each pizza was cut into. To proceed, we'll have to assume that each pizza was divided into an equal number of pieces.
If we assume that each pizza was cut into the same number of pieces, we can use a common denominator to combine these fractions. Let’s say each pizza has 24 slices (which is a multiple of 12, 8, and 8, making it easier to add the fractions).
- Cheese pizza: (5/12) * 24 = 10 slices
- Pepperoni pizza: (7/8) * 24 = 21 slices
- Veggie pizza: (5/8) * 24 = 15 slices
Adding these numbers together gives us the total number of slices eaten: 10 + 21 + 15 = 46 slices.