Question

5. The pizzeria chefs want to box up the leftover pizza in as few boxes as possible. A box can hold a whole pizza, whether it is rectangular or round. How can the leftovers be boxed up as efficiently as possible? Explain your solution.

Answer 1

Given:

The gray, shaded areas represent the amount of pizzas that were eaten

So, the remaining pizzas will be as follows:

Round pizzas:

$\begin{gathered} \frac{1}{2}+\frac{7}{8}+\frac{1}{4}+\frac{5}{8}=(\frac{1}{2}+\frac{1}{4})+(\frac{7}{8}+\frac{5}{8})=(\frac{2}{4}+\frac{1}{4})+\frac{12}{8} \\ =\frac{2}{4}+\frac{1}{4}+\frac{6}{4}=\frac{9}{4}=2\frac{1}{4} \end{gathered}$

Rectangular pizzas:

$\frac{4}{8}+\frac{3}{8}+\frac{3}{4}=\frac{4}{8}+\frac{3}{8}+\frac{6}{8}=\frac{13}{8}=1\frac{5}{8}$

The pizzeria chefs want to box up the leftover pizza in as few boxes as possible. A box can hold a whole pizza, whether it is rectangular or round

So, we need 3 boxes for the round pizzas

and 2 boxes for rectangular pizzas