a recipe for rice pudding uses 1/2 cup of rice and serves 6 people. write the cups of rice per person as a unit rate

. how many cups of rice do you need to serve 75 people?

(1/2) / 6 = (1/2) * 1/6 = 1/12 cup

1/12 * 75 = ?

To find the unit rate of the recipe, we divide the amount of rice (in cups) by the number of people it serves.

In this case, the recipe uses 1/2 cup of rice and serves 6 people. So the unit rate is:
(1/2 cup of rice) / (6 people)

To simplify the unit rate, we divide the numerator and denominator by their greatest common factor, which is 2 in this case:

(1/2 cup of rice) ÷ (6 people) = (1/2 ÷ 2 cup of rice) ÷ (6 ÷ 2 people)
= 1/4 cup of rice per person

Now, to determine how many cups of rice you need to serve 75 people, we can multiply the unit rate by the number of people:

(1/4 cup of rice per person) x (75 people) = 75/4 cups of rice

Therefore, you would need 18 3/4 (or 18.75) cups of rice to serve 75 people.