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

Option A = 7.5 cups

Explanation:

Given : 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
`1(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
`(3)/(4)` teaspoons of corn starch for 8 servings.

i.e. 5 cups +
`(3)/(4)` teaspoon = 8 servings ......(1)

You need to make 12 servings of the soup, so you'll need
`1(1)/(8)=(9)/(8)`

i.e. x cups +
`(9)/(8)` teaspoon = 12 servings ........(2)

So, First we find the ratio

Ratio is
`(12)/(8)=(3)/(2)`

So to equal the ratio multiply (1) by
`(3)/(2)`

`5* (3)/(2)`cups +
`(3)/(4)* (3)/(2)` teaspoon =
`8* (3)/(2)` servings

`(15)/(2)`cups +
`(9)/(8)` teaspoon = 12 servings

On comparing with (2),

The value of x is
`(15)/(2)`.

Therefore, The broth do we need is
`(15)/(2)=7.5` cups.

So, Option A is correct.