MATH SOLVE

4 months ago

Q:
# How many ways can six slices of pepperoni pizza and three slices of cheese pizza be divided among five friends, if one of the friends is a vegetarian?

Accepted Solution

A:

Answer and Step-by-step explanation:So according to the question we form the equation :6 slices of pepperoni pizza + 3 slices of cheese pizza = 9 in total. Now we have to divide the slices among 5 friends and we know that 1 is vegan.So,9 divided by 5 gives you : 1 and 4/5 slices of pizza or 9/5 slices of pizza.The 9 slices make : 45/5 slices.The 3 slices of cheese : 15/5 slicesAnd the 6 slices of pepperoni : 30/5The friend who is vegan gets 9/5 pizza. Leaving 6/5 slices or 12/10 divided by 4 = 3/10The rest of the 4 friends get each 5/5 slices of pepperoni + 1/2 pepperoni + 3/10 slice of cheese.We have :5/5 = 10/10,1/2 = 5/10,and 3/10 ,Now we need to add them up giving us :10/10 + 5/10 + 3/10 = 18/10 (The denominators will remain the same)= 9/5 slices of pizza for each friend.