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?
To find out how many cups of broth are needed for 6 cups of rice, we need to use the ratio of 2 cups of broth for 1/3 cup of rice.
First, we need to determine how many 1/3 cups are in 6 cups. To do this, we can multiply 6 by 3 to convert the whole number into thirds: 6 x 3 = 18.
Now that we know there are 18 one-thirds in 6 cups, we can calculate the total amount of broth needed by multiplying this by the ratio of 2 cups of broth for 1/3 cup of rice: 18 x 2 = 36.
Therefore, 36 cups of broth are needed for 6 cups of rice.
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.
To determine the number of cups of broth needed for 6 cups of rice, we can set up a proportion based on the ratio of broth to rice that the chef uses.
Given that the chef uses 2 cups of broth for 1/3 cup of rice, we can set up the proportion:
2 cups of broth / 1/3 cup of rice = x cups of broth / 6 cups of rice
To solve for x, we can cross multiply and then divide:
(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, we can 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
To divide by 1/3, we can multiply by its reciprocal, which is 3/1:
12 cups of broth * (3/1) = x cups of broth
36 cups of broth = x cups of broth
Therefore, the chef would need 36 cups of broth to make 6 cups of rice.