A chef uses 2 cups of broth for 13
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?(1 point)
Responses
36 cups
36 cups - no response given
2 cups
2 cups - no response given
12 cups
12 cups - incorrect
6 cups
6 cups - no response given
2 cups
To find out how many cups of broth are needed for 6 cups of rice, we can use the information given that the chef uses 2 cups of broth for 1 cup of rice.
To find the ratio of rice to broth, we divide the amount of rice by the amount of broth used per cup of rice:
6 cups of rice ÷ 1 cup of rice per 2 cups of broth = 6 cups of rice ÷ 1 * (2 cups of broth ÷ 1 cup of rice) = 12 cups of broth.
Therefore, 12 cups of broth are needed.
To determine the number of cups of broth needed for 6 cups of rice, we can consider the ratio of broth to rice that the chef uses. The chef uses 2 cups of broth for every 13 cups of rice.
To find out how many cups of broth are needed for 6 cups of rice, we can set up a proportion:
2 cups of broth / 13 cups of rice = x cups of broth / 6 cups of rice
Cross-multiplying, we get:
2 cups of broth * 6 cups of rice = 13 cups of rice * x cups of broth
12 cups of broth = 78 cups of rice * x
Dividing both sides of the equation by 78 cups of rice, we can solve for x:
12 cups of broth / 78 cups of rice = x cups of broth
Simplifying the fraction, we get:
2/13 = x cups of broth
Therefore, the chef would need approximately 2 cups of broth for 6 cups of rice.