Who's Orange Juice Mixture is stronger?

Question

If someone were to mix 2 and 1/2 cups of water with 1/3 of a cup of orange juice concentrate, and another person mixes 1 and 2/3 cups of water with 1/4 of a cup of orange juice concentrate too. Who's orange juice mixture would taste stronger?

Answer 1

Assuming the orange juice concentrate used in both cases is the same:

Person 1: 2.5 cups water (W), 0.333_ cups orange juice concentrate (OJC). Concentration 1 = 0.3333_ OJC/2.5 W = 0.13333_ OJC/W

Person 2: 1.6666_ cups W, 0.25 cups OJC. Concentration 2 = 0.25 OJC/1.6666_ W = 0.15 OJC/W

Since 0.15 > 0.1333, we can see that Concentration 2 > Concentration 1. The second person's OJ would taste stronger.