Bob needs to mix 2cups 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?

2/5.5 = 6/x

Cross multiply and solve for x.

i do not get it

I think that the answer is 4

To solve this problem, we need to determine how much orange juice Bob can make.

Given that Bob has 6 cups of concentrate, we know that he has enough concentrate to make 6 cups of orange juice. This is because it takes 2 cups of concentrate to make 1 cup of orange juice.

Now, to find out how much water is needed, we can use the ratio of 2 cups of concentrate to 3.5 cups of water. If 2 cups of concentrate are mixed with 3.5 cups of water, it will make 1 cup of orange juice.

So, if we set up a proportion using the provided ratio, we can determine the amount of water needed to make 6 cups of orange juice.

2 cups of concentrate / 3.5 cups of water = 6 cups of concentrate / X cups of water

Cross-multiplying, we get:
2 cups of concentrate * X cups of water = 3.5 cups of water * 6 cups of concentrate

Simplifying further:
2X = 3.5 * 6
2X = 21
X = 21 / 2
X = 10.5

Therefore, Bob will need 10.5 cups of water to make 6 cups of orange juice.