Question

A chef uses 1/2 cup of cheese for a small pizza. There are 6 grams of fat in 1/4 cup of cheese.

Drag one expression next to each question. The correct expression for each row is a way to answer that question.
Drag one expression next to each question. The correct expression for each row is a way to answer that question. PLZZ help!!

Answer 1

The correct options are;

1) How many grams of fat are in 1/2 cup of cheese =
`6 /(1)/(4) \cdot (1)/(2)`

2) How many cups of cheese will the chef need to make 13 small pizzas =
`(1)/(2) \cdot 13`

3) How many small pizzas could the chef make if he has 3/4 cup of cheese is given as follows;

`(3)/(4) / (1)/(2)`

Explanation:

1) How many grams of fat are in 1/2 cup of cheese

The number of grams of fat per 1/4 cup of cheese = 6 grams

Therefore;

The number of grams of fat per kilogram of cheese = 6/(1/4)

The number of grams of fat per 1/2 kilogram of cheese = 6/(1/4) × 1/2, which can be written as follows;

`6 /(1)/(4) \cdot (1)/(2)`

2) How many cups of cheese will the chef need to make 13 small pizzas

The number of cups of cheese per small pizza = 1/2 cup of cheese

Therefore, the number of cups of cheese in 1 small pizza = 1/2 × 13, which can be written as follows;

`(1)/(2) \cdot 13`

3) How many small pizzas could the chef make if he has 3/4 cup of cheese is given as follows;

Given that 1/2 cup of cheese can make one small pizza

(1/2)/(1/2) = 1 cup of cheese can make 1/(1/2) small pizza

3/4 cup of cheese can make 3/4 × 1/(1/2) = (3/4)/(1/2) small pizza, which can be written as follows;

`(3)/(4) / (1)/(2)`