BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 1.6, Problem 18E
To determine

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

Expert Solution

Answer to Problem 18E

  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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