Marlene only has enough ingredients to make a 1/4 batch of cookies. For the smaller batch, she only needs 2/3 cup of sugar. How much sugar does the recipe for a full batch of cookies call for? Include all your work in your answer.

Respuesta :

Answer: 2 2/3

Step-by-step explanation:

2/3 plus 2/3 is 1 1/3

1 1/3 plus 1 1/3 is 2 2/3

Answer:

[tex]2\frac{2}{3}[/tex] cups of sugar.

Step-by-step explanation:

Let s represent amount needed to make the full batch.

We have been given that Marlene only has enough ingredients to make a 1/4 batch of cookies. For the smaller batch, she only needs 2/3 cup of sugar.

This means that 1/4 of sugar is equal to 2/3 cups. We can represent this information in an equation as:

[tex]\frac{1}{4}s=\frac{2}{3}[/tex]

Upon multiplying both sides by 4, we will get:

[tex]4\cdot \frac{1}{4}s=4\cdot\frac{2}{3}[/tex]

[tex]s=\frac{4\cdot2}{3}[/tex]

[tex]s=\frac{8}{3}[/tex]

[tex]s=2\frac{2}{3}[/tex]

Therefore, the recipe for a full batch of cookies call for [tex]2\frac{2}{3}[/tex] cups of sugar.