a recipe that serves 9 people requires 1 1/3 cups sugar using this recipe how many cups of sugar are needed to serve 15 people?

Respuesta :

Answer:

9

Step-by-step explanation:

Answer:

2 2/9 cups of sugar

Step-by-step explanation:

Cups needed to serve 9 people = 1 1/3 cups

We can say that the number of people is directly proportional to the number of cups of sugar used.

Hence, taking them in proportion :

⇒ [tex]\frac{9}{1+ 1/3} = \frac{15}{x}[/tex]

⇒ 9x = 15 (1 + 1/3)

⇒ 9x = 15 + 5

⇒ 9x = 20

⇒ x = 20/9

⇒ x = 2 2/9 cups of sugar