Bob needs to mix 2 cups of orange juice concentrate with 3.5 cups of water to make orange juice. Bob has 6 cups of concentrate. How much orange juice can he make?
What do you think?
Ms.Sue am i allowed to help on this website? No answer giving of course!
Yes, Bill, you can help. And thanks for not giving answers.
To find out how much orange juice Bob can make, we need to determine the limiting factor between the amount of orange juice concentrate and the amount of water.
First, let's determine the amount of orange juice Bob can make based on the amount of concentrate he has.
Given that Bob has 6 cups of concentrate, and he needs 2 cups of concentrate to make 1 cup of orange juice, we can set up a proportion:
6 cups of concentrate / 2 cups of concentrate = X cups of orange juice
Simplifying the proportion, we have:
3 cups of orange juice = X cups of orange juice
Therefore, Bob can make 3 cups of orange juice based on the amount of concentrate he has.
Now, let's determine the amount of orange juice Bob can make based on the amount of water he has.
Given that Bob needs to mix 2 cups of concentrate with 3.5 cups of water to make 1 cup of orange juice, we can set up a proportion:
3.5 cups of water / 1 cup of orange juice = Y cups of water
Simplifying the proportion, we have:
3.5 cups of water = Y cups of water
Therefore, Bob can make 3.5 cups of orange juice based on the amount of water he has.
To find the minimum amount of orange juice Bob can make, we take the smaller value between the amount of orange juice based on the concentrate and the amount of orange juice based on the water.
In this case, the amount of orange juice based on the concentrate is 3 cups, and the amount of orange juice based on the water is 3.5 cups. Thus, the limiting factor is the amount of concentrate.
Therefore, Bob can make 3 cups of orange juice.