Final answer:
One cup of pinto beans will produce 1/3 servings of enchiladas.
Step-by-step explanation:
To find out how many servings one cup of pinto beans will produce, we need to set up a proportion. The recipe states that 9 cups of pinto beans produce three servings of enchiladas. So, we can set up the proportion as:
9 cups / 3 servings = 1 cup / x servings
To solve for x, we can cross multiply and divide:
9x = 3 * 1
9x = 3
x = 3 / 9
x = 1/3
Therefore, one cup of pinto beans will produce 1/3 servings of enchiladas.