Question

Pizza You know that 3 pizzas are enough to feed 12 people. Write and solve a proportion to find the number of pizzas that will feed 28 people.

Short answer

7 pizzas will feed 28 people.

Step-by-step solution

Step 1.  Given

Given that 3 pizzas feed 12 people.

Step 2.  To determine

We have to writeand solve the proportion and find the number of pizzas that can feed 28 people.

Step 3.  Calculation 

Given that, 3 pizzas are enough to feed 12 people.

Let, x is the number of pizzas to feed 28 people.

So, the proportion is given by,

$\frac{3}{12}=\frac{x}{28}$

Then we solve the equation:

$\begin{array}{c}\frac{3}{12}=\frac{x}{28}\\ \frac{3}{12}\times 28=\frac{x}{28}\times 28\left[\text{divideeachsideby28}\right]\\ \frac{84}{12}=x\left[\text{divide}\right]\\ x=7\end{array}$

Therefore, 7 pizzas will feed 28 people.