# To express: the given quantity in terms of the indicated variable. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.6, Problem 17E
To determine

## To express: the given quantity in terms of the indicated variable.

Expert Solution

x=25ozC3gal .

### Explanation of Solution

Given:

The given quantity is “the concentration of salt in a mixture of three galloon of brine”.

x is the volume of pure water in galloon.

Concept used:

1. Identify the variable.
2. Translation into algebraic form.
3. Set up the model.
4. And solve the equation.

Calculation:

According to question,

x is the volume of pure water in galloon.

Concentration(C) of salt is equal to the ratio of salt(oz) to the brine (in galloon).

Therefore,

C=totalsalttotalbrine=253+x3gal+x=25ozCx=25ozC3gal

Hence,the concentration of salt in a mixture of three galloon of brine is x=25ozC3gal .

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