Respuesta :
Answer:
Option A = 7.5 cups
Step-by-step explanation:
Given : Suppose you're making a soup that uses 5 cups of chicken broth and [tex]\frac{3}{4}[/tex] teaspoons of corn starch for 8 servings. You need to make 12 servings of the soup, so you'll need [tex]1\frac{1}{8}[/tex] teaspoons of corn starch.
To find : How much broth do you need?
Solution :
A soup that uses 5 cups of chicken broth and [tex]\frac{3}{4}[/tex] teaspoons of corn starch for 8 servings.
i.e. 5 cups + [tex]\frac{3}{4}[/tex] teaspoon = 8 servings ......(1)
You need to make 12 servings of the soup, so you'll need [tex]1\frac{1}{8}=\frac{9}{8}[/tex]
i.e. x cups +[tex]\frac{9}{8}[/tex] teaspoon = 12 servings ........(2)
So, First we find the ratio
Ratio is [tex]\frac{12}{8}=\frac{3}{2}[/tex]
So to equal the ratio multiply (1) by [tex]\frac{3}{2}[/tex]
[tex]5\times \frac{3}{2}[/tex]cups + [tex]\frac{3}{4}\times \frac{3}{2}[/tex] teaspoon = [tex]8\times \frac{3}{2}[/tex] servings
[tex]\frac{15}{2}[/tex]cups + [tex]\frac{9}{8}[/tex] teaspoon = 12 servings
On comparing with (2),
The value of x is [tex]\frac{15}{2}[/tex].
Therefore, The broth do we need is [tex]\frac{15}{2}=7.5[/tex] cups.
So, Option A is correct.
