# The plumber and his assistant working hours.

### 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 29E
To determine

## To find: The plumber and his assistant working hours.

Expert Solution

The assistant works for 35 hours and plumber works for 70 hours.

### Explanation of Solution

Given:

The labor for plumber is $45 and for assistant is$25.

Total bill for labor charge is \$4025.

Calculation:

Let the assistant working hours be x.

Tabulate the given information into the language of algebra.

 In words In Algebra Assistant working hours x Plumber working hours 2x Assistant charges 25x Plumber working charges 45×2x

Model the equation for the above information.

Plumbercharges+Assistantcharges=Totalbill45×2x+25x=4025

Simplify the above equation for x,

90x+25x=4025115x=4025x=35

Plumber working hours,

Hours=2x=2×35=70

Thus, the assistant works for 35 hours and plumber works for 70 hours.

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