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 - incorrect
12 cups
12 cups - no response given
6 cupsincrorrect
2
12 incorect
The correct answer is 12 cups.
To find out how many cups of broth are needed for 6 cups of rice, we need to determine the ratio of broth to rice.
The chef uses 2 cups of broth for 1 cup of rice, so the ratio is 2:1.
To scale this ratio up to 6 cups of rice, we multiply both numbers by 6:
2 x 6 = 12
Therefore, the chef will need 12 cups of broth for 6 cups of rice.
To solve this problem, we can set up a ratio of the amount of broth to the amount of rice.
Since the chef uses 2 cups of broth for 13 cups of rice, the ratio is 2:13 (2 cups of broth for every 13 cups of rice).
Now we can use this ratio to find out how many cups of broth are needed for 6 cups of rice.
We can set up the following proportion:
2 cups / 13 cups = X cups / 6 cups
To solve for X, cross multiply:
(2 cups) * (6 cups) = (13 cups) * (X cups)
12 cups = 13X
Divide both sides of the equation by 13:
12 cups / 13 = X
The approximate value of X is 0.923 cups.
Therefore, the chef will need approximately 0.923 cups of broth for 6 cups of rice.