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 58E
To determine

To find: The amount of solution drained and replaced with bleach.

Expert Solution

Answer to Problem 58E

The amount of solution drained and replaced with bleach is 3.06 gallons.

Explanation of Solution

Given:

The sterilization tank contains 100 gal of solution of 2% ordinary household bleach. New concentration of bleach should be 5% for complete sterilization.

Calculation:

Let the amount of solution drain and replace with bleach be x.

Tabulate the given information into the language of algebra.

In words In Algebra
Amount of replaced bleach x
Amount of 2% bleach 0.02(100x)
Amount of 5% bleach 0.05(100)

Model the equation for the above information.

(Amountofbleachfor5%sterlization)=(Amountofbleachfor2%sterlization)+(Amountofbleachadddedintank)0.05(100)=(0.02)(100x)+1(x)

Simplify the above equation for x,

20.02x+x=52+0.98x=50.98x=3x=3.06

Thus, the amount of solution drained and replaced with bleach is 3.06 gallons.

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