Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 5: Q. 119 (page 612)

In the following exercises, translate to a system of equations and solve.

Jackie has been offered positions by two cable companies. The first company pays a salary of \( 14,000 plus a commission of \)100 for each cable package sold. The second pays a salary of \(20,000 plus a commission of \)25 for each cable package sold. How many cable packages would need to be sold to make the total pay the same?

Short Answer

Expert verified

The number of cable packages need to sell is 80.

Step by step solution

01

Step 1. Given Information   

The given data is that the first company pays a salary of $ 14,000 plus a commission of $100 for each cable package sold. The second pays a salary of $20,000 plus a commission of $25 for each cable package sold.

02

Step 2. Calculation 

Let us assume that xbe the number of cable packages need to be sold.

As the first company pays a salary of $ 14,000 plus a commission of $100 for each cable package sold. The second pays a salary of $20,000 plus a commission of $25 for each cable package sold. This will make the equation as follows,

14000+100(x)=20000+25(x)

Solve the equation to find the value of variablex.

14000+100x=20000+25x75x=6000x=80

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the following exercises, translate to a system of equations and solve.

The perimeter of a rectangle is 58. The length is 5 more than three times the width. Find the length and width.

In the following exercises, translate to a system of equations and solve.

The perimeter of a rectangular toddler play area is 100 feet. The length is ten more than three times the width. Find the length and width of the play area.

In the following exercises, translate to a system of equations and solve.

Wayne is hanging a string of lights 45 feet long around the three sides of his rectangular patio, which is adjacent to his house.The length of his patio, the side along the house, is five feet longer than twice its width. Find the length and width of the patio.

In the following exercises, solve the systems of equations by substitution.

y=3x6x-2y=0

Solve a System of Equations by Elimination -

4x-3y=32x+5y=-31
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free