Question

A school group orders 8 large pizzas for the members to eat after a meeting. The ratio of the number of cheese-pizza slices to the total number of pizza slices is 18:48. A: How many slices does each pizza have? B: How many slices of the pizza are cheese?

Answer 1

A) 6 slices per pizza

B) 18 slices of pizza cheese (3 entire pizzas)

Explanation:

A)

In this problem, the school group has ordered 8 large pizzas.

We call this value:

N = 8

Then we call:

c = number of cheese-pizza slices

n = total number of slices

We know that the ratio between the two is

`(c)/(n)=(18)/(48)`

So we can assume that the number of total slices is

n = 48

And since we have a total of 8 pizzas, the number of slices in each pizza is

`s=(n)/(N)=(48)/(8)=6`

B)

Here we want to find the number of slices of pizza cheese in total.

We know that the ratio of the number of slices of pizza cheese to the total number of slices is

`(c)/(n)=(18)/(48)`

Since we said that

n = 48

This implies that

c = 18

So, the number of slices of pizza cheese is 18.

We can also calculate the number of cheese pizzas: in fact, since each pizza contains 6 slices, it is

`s_c=(18)/(6)=3`