if you have a apple juice mix of 5 cups concentrate to 8 cups water, if you only make 1 cup of mix, how much water and how much concentrate do you need?

5 cups + 8 cups = 13 cups so

5/13 concentrate
8/13 water

To find out how much water and concentrate you need to make a 1-cup mix, we can use proportions.

Given that the apple juice mix ratio is 5 cups concentrate to 8 cups water, we need to determine the ratio for a 1-cup mix.

First, we'll set up a proportion with the given ratio:

5 cups concentrate / 8 cups water = x cups concentrate / 1 cup water

To solve for x, we cross-multiply:

5 cups concentrate * 1 cup water = x cups concentrate * 8 cups water

5 cups concentrate = 8x cups concentrate

Next, isolate x by dividing both sides of the equation by 8:

5 cups concentrate / 8 = 8x cups concentrate / 8

5/8 = x

So, for a 1-cup mix, you will need 5/8 cups of concentrate (approximately 0.625 cups) and 1 cup of water.