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?

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 slices

And the 6 slices of pepperoni : 30/5

The friend who is vegan gets 9/5 pizza. Leaving 6/5 slices or 12/10 divided by 4 = 3/10

The 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.

Step-by-step explanation:

9 / 5 = 1 & 4/5 slices = 9/5 slices.

9 slices ... 45/5 slices.

3 slices of cheese ... 15/5 slices.

6 slices of pepperoni ... 30/5 slices.

Vegetarian : 9/5 cheese slices. The remaining 6/5 slices or 12/10 slices of cheese, 12/10 divided by 4=3/10

The rest of the 4 friends get each: 5/5 slices of pepperoni + 1/2 slice of Pepperoni + 3/10 slice of cheese.

5/5=10/10, 1/2=5/10, 3/10

10/10 + 5/10 + 3/10 = 18/10=9/5 slices each friend