# The amount of pure acid. ### 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 54E
To determine

## To find: The amount of pure acid.

Expert Solution

The amount of pure acid is 75 mL.

### Explanation of Solution

Given:

A pure acid is added to 300 mL of 50% acid solution to make a 60% acid solution.

Calculation:

Let the amount of 60% be x.

Tabulate the given information into the language of algebra.

 In words In Algebra Amount of pure acid x Amount of 60% acid solution x+300

Model the equation for the above information.

pureacid+50%of300mL=60%of(x+300)x+0.5(300)=0.6(x+300)

Simplify the above equation for x,

x+150=0.6x+1800.4x=30x=75

Thus, the amount of pure acid is 75 mL.

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