Question

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.

Answer 1

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 2

Answer:

$2\frac{2}{3}$ 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:

$\frac{1}{4}s=\frac{2}{3}$

Upon multiplying both sides by 4, we will get:

$4\cdot \frac{1}{4}s=4\cdot\frac{2}{3}$

$s=\frac{4\cdot2}{3}$

$s=\frac{8}{3}$

$s=2\frac{2}{3}$

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