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

6 cups
6 cups

36 cups
36 cups

2 cups
2 cups

12 cups
12 cups

The correct answer is 12 cups.

To find out how many cups of broth are needed for 6 cups of rice, we can use a proportion.

Given that the chef uses 2 cups of broth for 13 cup of rice, we can set up the following proportion:

2 cups / 13 cups = x cups / 6 cups

To solve for x, we need to cross multiply:

2 cups * 6 cups = 13 cups * x cups

12 cups = 13 cups * x cups

Now we can solve for x:

x = 12 cups / 13 cups

x ≈ 0.923 cups

Therefore, approximately 0.923 cups (or about 6 cups if rounded to the nearest cup) of broth are needed for 6 cups of rice.

To find out how many cups of broth are needed for 6 cups of rice, we can set up a proportion based on the ratio given.

The ratio is: 2 cups of broth for 13 cups of rice.

Let's set up the proportion:

2 cups of broth / 13 cups of rice = x cups of broth / 6 cups of rice

To solve for x, we can cross-multiply.

13 cups of rice * x cups of broth = 2 cups of broth * 6 cups of rice

13x = 12

Now, if we divide both sides of the equation by 13, we can solve for x:

x = 12 / 13

So, based on the proportion, approximately 0.92 cups of broth are needed for 6 cups of rice.