Chapter 6.2, Problem 8E

To determine

Towriteand solvethe proportion and find the number of pizzas that can feed 28 people.

Answer to Problem 8E

The proportion is solved as $x=7$

To feed 28 people; the required number of pizzas are $7$ .

Explanation of Solution

Given information:

Three pizzas are enough to feed 12 people.

Calculation:

Since, 3 pizza are enough to feed 12 people;

Let, $x$ be the number of pizzas that will feed 28 people.

Hence the proportion can be obtained as,

  $\frac{3}{12}=\frac{x}{28}$

The number of pizzas that can feed 28 people can be calculate as,

  $\begin{array}{l}\frac{3}{12}=\frac{x}{28}\\ \frac{3}{12}\times 28=\frac{x}{28}\times 28\left[\text{divide each side by 28}\right]\\ \frac{84}{12}=x\left[\text{divide}\right]\\ x=7\end{array}$

Therefore,

The proportion is solved as $x=7$

To feed 28 people; the required number of pizzas are $7$ .