Question

Suppose you're making a soup that uses 5 cups of chicken broth and 3⁄4 teaspoons of corn starch for 8 servings. You need to make 12 servings of the soup, so you'll need 11⁄8 teaspoons of corn starch. How much broth do you need? A. 7.5 cups B. 8.7 cups C. 2.5 cups D. 10 cups

Answer 1

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 $\frac{3}{4}$ teaspoons of corn starch for 8 servings. You need to make 12 servings of the soup, so you'll need $1\frac{1}{8}$ teaspoons of corn starch.

To find : How much broth do you need?

Solution :

A soup that uses 5 cups of chicken broth and $\frac{3}{4}$ teaspoons of corn starch for 8 servings.

i.e. 5 cups + $\frac{3}{4}$ teaspoon = 8 servings  ......(1)

You need to make 12 servings of the soup, so you'll need $1\frac{1}{8}=\frac{9}{8}$

i.e. x cups +$\frac{9}{8}$ teaspoon = 12 servings  ........(2)

So, First we find the ratio

Ratio is $\frac{12}{8}=\frac{3}{2}$

So to equal the ratio multiply (1) by $\frac{3}{2}$

$5\times \frac{3}{2}$cups + $\frac{3}{4}\times \frac{3}{2}$ teaspoon = $8\times \frac{3}{2}$ servings

$\frac{15}{2}$cups + $\frac{9}{8}$ teaspoon = 12 servings

On comparing with (2),

The value of x is $\frac{15}{2}$.

Therefore, The broth do we need is $\frac{15}{2}=7.5$ cups.

So, Option A is correct.