Final answer:
To maintain the 3:2 water-to-rice ratio, for 6 cups of water, you need 4 cups of rice; and for 10 cups of rice, you require 15 cups of water.
Step-by-step explanation:
When cooking a certain type of rice, the ratio of water to rice should always be 3 to 2.
To complete the table where the ratio of water to rice is given as 3 cups of water to 2 cups of rice, we must determine the amount of rice that corresponds to 6 cups of water and the amount of water that corresponds to 10 cups of rice.
To find the amount of rice for 6 cups of water, use the original ratio (3 cups water:2 cups rice).
Since 6 cups of water is twice the amount in the ratio, we need twice the amount of rice: 2 cups × 2 = 4 cups of rice.
For the second part, we are given 10 cups of rice and we need to find out how many cups of water are needed. Since the ratio of water to rice is 3:2, we can set up a proportion:
(3 cups water / 2 cups rice) = (x cups water / 10 cups rice).
Cross-multiplying gives us 2x = 30,
so x = 30 / 2
= 15 cups of water.