Final answer:
Mai's fruit punch mixture will have a stronger taste compared to Priya's because Mai's mixture has a higher concentration of powder to water, indicated by the simplified ratio of 2:3, compared to Priya's ratio of 3:5.
Step-by-step explanation:
The question from the student is how the two mixtures of fruit punch made by Priya and Mai compare in taste. To compare the concentration of powder in the two mixtures, we calculate the ratio of powder to water for each. Priya uses 3 scoops of powder for 5 cups of water, resulting in a ratio of 3:5. Mai uses 4 scoops of powder for 6 cups of water, giving a ratio of 4:6, which simplifies to 2:3 when divided by 2.
Comparing the ratios, we can see that Mai's mixture is more concentrated because for every two parts of powder, she only has three parts of water, whereas Priya has three parts of powder to every five parts of water. Therefore, Mai's fruit punch should have a stronger taste in comparison to Priya's because it has a higher concentration of powder to water.