Question

Marques mixes 11 cups of water and 3 cups of powder. Tanisha mixes 7 cups of water and 2 cups of powder. Whose mix is more watery?

1) Marques
2) Tanisha

Answer 1

To determine whose mix is more watery, compare the ratios of water to powder. Marques has a ratio of 11:3 and Tanisha has a ratio of 7:2. Marques has the more watery mix.

Step-by-step explanation:

To determine whose mix is more watery, we can compare the ratios of water to powder in each mix. Marques mixes 11 cups of water with 3 cups of powder, which gives a ratio of 11:3. Tanisha mixes 7 cups of water with 2 cups of powder, which gives a ratio of 7:2. We can simplify these ratios by dividing both numbers by their greatest common factor. The simplified ratio for Marques is 11:3 and for Tanisha is 7:2.

Now we compare the ratios. Since the cups of water are the larger quantity in each ratio, a larger ratio means a more watery mix. Therefore, Marques has a more watery mix because 11:3 is a larger ratio than 7:2.