Priya mixes 2 ½ cups of water with ⅓ cup of orange juice concentrate. Diego mixes 1 ⅔ cups of water with ¼ cup orange juice concentrate.
How much concentrate should Priya mix with 100 cups of water to make juice that tastes the same as the original recipe?
If necessary round your answer to the nearest hundredth.
To find out how much concentrate Priya should mix with 100 cups of water, we need to set up a proportion.
Let x represent the amount of concentrate Priya needs to mix.
We can set up the proportion as follows:
2.5 cups of water / ⅓ cup of concentrate = 100 cups of water / x cups of concentrate
Cross-multiplying, we get:
(2.5)(x) = (⅓)(100)
Simplifying, we get:
2.5x = 33.33
Dividing both sides by 2.5, we get:
x = 13.33
Therefore, Priya should mix 13.33 cups of concentrate with 100 cups of water to make juice that tastes the same as the original recipe.