A Chef uses 2 cups of broth for 1/3 cup of rice the chef is making a big batch of rice and using 6 cups of rice how many cups of broth are needed?

Answer 1

To find out how many cups of broth are needed, you'll need to use proportions.

First, find out the ratio of broth to rice used:
2 cups of broth : 1/3 cup of rice

Next, set up the proportion with the given amount of rice (6 cups) and an unknown amount of broth (let's call it x cups):
2 cups of broth / 1/3 cup of rice = x cups of broth / 6 cups of rice

Cross multiplying the proportions, you get:
(2 cups of broth)(6 cups of rice) = (1/3 cup of rice)(x cups of broth)

12 cups of broth = (1/3 cup of rice)(x cups of broth)

Now, solve for x by dividing both sides of the equation by (1/3 cup of rice):
12 cups of broth / (1/3 cup of rice) = x cups of broth

Multiplying the numerator and denominator by 3/1 will give:
12 cups of broth / (1/3 cup of rice)(3/1) = x cups of broth

This simplifies to:
12 cups of broth / 1 cup of rice = x cups of broth

So, the chef will need 12 cups of broth when using 6 cups of rice.