Question

A recipe calls for 1 cup of milk for every 2 1/2 cup of flour to make a cake that can feed 6 persons. How many cups of both flour and milk will be needed to make a similar cake for 9 persons?​

Answer 1

Answer:

A recipe calls for 1 cup of milk for every 2 1/2 cup of flour to make a cake that can feed 6 persons. We need 1.5 cups of milk and 3.75 cups of flour to make cake a similar cake for nine people.

Step-by-step explanation:

To answer this question, let's work out the recipe for one person.

We need 1 cup of milk and 2 1/2 cup of flour to make cake for six persons.

For one person, the ingredients will be:

Milk = 1/6 a cup

Flour = 2 1/2 ÷ 6

= 5/2 ÷ 6

= 5/12 a cup of flour

Therefore, we need 1/6 a cup of milk and 5/12 a cup of flour to make cake for one person.

Now, for 9 persons we have that:

Milk = 9 × 1/6 = 3/2 = 1 1/2 cups

Flour = 5/12 × 9 = 15/4 = 3 3/4 cups

We need 1.5 cups of milk and 3.75 cups of flour to make cake for nine people.