Anna wants to bake 2 1/2 dozen cookies for a party. However, the recipe she has only makes a dozen cookies. If the original recipe calls for 1 1/4 cups of sugar, how many cups of sugar does she need to make the cookies for her party? Express your answer as a mixed number.

Respuesta :

Given :

Sugar required for 2 1/2 = 5/2 dozen of cookies is 1 1/4 = 5/4 cups.

To Find :

How many cups of sugar does she need to make the cookies for her party.

Solution :

Let, cups of sugar required to make cookies for her party is x.

So,

[tex]x = \dfrac{\dfrac{5}{4}}{\dfrac{5}{2}}\\\\\\x = \dfrac{1}{2}[/tex]

Therefore, 1/2 cup of cookies is required to make 1 dozen cookies.

Hence, this is the required solution.

Answer: 25/8

Step-by-step explanation:  

We would first turn 2 1/2 and 1 1/4 into an improper fraction.

That leaves us with 5/2 and 5/4.

Then, because she needs to make 5/2 dozen cookies and needs 5/4 cups of sugar for every batch, we would multiply 5/2 and 5/4 together.

Therefore x, or the amount of sugar she needs, is 25/8