Answer:
For 6 cups of concentrate, 30 cups of water should be mixed.
For 20 cups of water, 4 cups of concentrate should be mixed.
How much water should be mixed with 6cups of concentrate
How much concentrate should be mixed with 20 cups of water
For 6 cups of concentrate, 30 cups of water should be mixed.
For 20 cups of water, 4 cups of concentrate should be mixed.
To calculate the amount of water, we can set up a proportion:
1 part concentrate / 5 parts water = 6 cups concentrate / x cups water
Cross-multiplying, we get:
1 * x = 5 * 6
x = 30
So, you should mix 30 cups of water with 6 cups of concentrate.
Now, to find the amount of concentrate needed to mix with 20 cups of water, we again use the same mixing ratio of 1:5.
Using a proportion:
1 part concentrate / 5 parts water = x cups concentrate / 20 cups water
Cross-multiplying, we get:
1 * 20 = 5 * x
20 = 5x
Divide both sides by 5:
x = 4
So, you should mix 4 cups of concentrate with 20 cups of water.