Question

If one cup of rice needs one and two-thirds cups of water, how much water is needed for one and a half cups of rice?

(A) 2 1/4 cups of water
(B) 2 1/3 cups of water
(C) 2 1/2 cups of water
(D) 2 2/3 cups of water

Answer 1

To find the amount of water needed for one and a half cups of rice, a proportion was established based on the original ratio. After calculating, the answer is 2 1/2 cups of water, which is answer choice (C).

Step-by-step explanation:

To calculate the amount of water needed for one and a half cups of rice, we need to set up a proportion based on the given ratio that one cup of rice requires one and two-thirds cups of water. The proportion is:

1 cup of rice / 1 2/3 cups of water = 1.5 cups of rice / x cups of water,

where x represents the amount of water required for 1.5 cups of rice. We can solve for x by cross-multiplication:

(1 cup of rice) * (x cups of water) = (1.5 cups of rice) * (1 2/3 cups of water).

Converting one and two-thirds cups to an improper fraction gives us 5/3 cups. So the equation becomes:

1 * x = 1.5 * (5/3),

Therefore, x = 1.5 * (5/3) = 7.5/3 = 2.5 or 2 1/2 cups of water. So, the correct answer is (C) 2 1/2 cups of water needed for one and a half cups of rice.