Question

Dario bakes a lasagna containing 2/3 pound of parmesan cheese, 5/4 pounds of ricotta cheese, and 4/3 pounds of mozzarella cheese. Dario cuts the lasagna into several equal slices, each containing exactly 1/4 pound of cheeses (of all types totalled). How many slices are there?

Answer 1

First, we have to figure out how much cheese we have total. Do this by adding up all of the various cheeses.

$\frac{2}{3} + \frac{4}{3} + \frac{5}{4} \\ \frac{6}{3} + 1 + \frac{1}{4} \\ 3 \frac{1}{4}$
Now to split the cheeses into sections of 1/4 pound each, we have to divide by 1/4, which is the same as multipling by 4

$3 \frac{1}{4} \times 4 = 12 + 1 = 13$

13 slices total