Question

Dario bakes a lasagna containing $\frac 23$ pound of parmesan cheese, $1\frac 14$ pounds of ricotta cheese, and $1\frac 13$ pounds of mozzarella cheese. Dario cuts the lasagna into several equal slices, each containing exactly $\frac 14$ pound of cheeses (of all types totaled). How many slices are there?

Answer 1

Answer: There are 13 slices when Dario cuts .

Explanation :

Since we have given that

Quantity of parmesan cheese is given by

$\frac{2}{3}$

Quantity of ricotta cheese is given by

$1\frac{1}{4}$

Quantity of mozzarella cheese is given by

$1\frac{1}{3}$

Now, total  quantity of cheese Dario have

$\frac{2}{3}+\frac{5}{4}+\frac{4}{3}=2+\frac{5}{4}=\frac{8+5}{4}=\frac{13}{4}$

Now,

According to question, Dario cuts the lasagna into several equal slices and each containing exactly

$\frac{1}{4}\ pounds\ of\ cheese$

So,

Number of slices is given by

$\frac{\frac{13}{4}}{\frac{1}{4}}=13$

Hence, there are 13 slices when Dario cuts .