if 1/4 cup equals 1 serving, how many servings in 9 cups?

Question

calculating servings of pinto beans

Answer 1

One serving is 1/4 cup therefore 1 cup would be 4 servings. Since we have 9 cups we would then multiply 9 x 4 and the answer would be 36 servings.

Answer 2

You have a ratio of cups to serving, so 1/4 cup : 1 serving, or .25 cups : 1 serving, or .25 cups/1 serving is our ratio.

In a proportion, the ratios must correspond and equal one another; therefore .25 cups/1 serving =  9 cups/x servings.

To simplify a proportion, you use cross multiplication. This means that .25x = 1(9), or .25x =9.

Dividing both sides of the equation by .25, you get .25x/.25 = 9/.25, or x = 36. 

As a result, you have 36 servings in 9 cups.