Miguel is making smoothies out of yogurt and juice to serve his friends, and he needs to make 12 cups. the ratio of yogurt to juice is 2 cups to 1 cup. how much yogurt will he use

Eight cups of yogurt will be used.

Step-by-step explanation:

Let cups of yogurt used in 12 cups of smoothies be x

Cups of juice  used in 12 cups of smoothies = 12- x

The ratio of yogurt to juice is 2 cups to 1 cup that is:

Ratio will be maintained through out 12 cups of smoothies:

x = 8

Eight cups of yogurt will be used.

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.