Algebra: Structure And Method, Book 1

(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Question

Chapter 3.5, Problem 15P

To determine

To find: the number of years it takes for Mei and Janet to earn same salary

Expert Solution & Answer

Answer to Problem 15P

Mei’s and Janet’s will be earning same salary in 6 years

Explanation of Solution

Given information: “Mei’s salary starts at $16000 per year with annual raise of $1500”. “Janet’s starting salary is $19300 with annual raise of $950”

Concept Involved:

Perimeter of rectangle means sum of all the sides of the rectangle

Assign variable for the unknown that we need to find.

Use the keywords in the statement to rewrite the statement to meaningful math equation.

Solve the equation by getting the variable in one side of the equation and undoing whatever is done to it by performing reverse operation.

Calculation: Assign variable for the unknown that we need to find

Let x be the number of years when Mei’s and Janet’s salary is same

Write an expression to represent the Mei’s salary after x years using the sentence “Mei’s salary starts at $16000 per year with annual raise of $1500”

16000+1500x

Write an expression to represent the Janet’s salary after x years using the sentence “Janet’s starting salary is $19300 with annual raise of $950”

19300+950x

Replace the keywords to get an equation representing the sentence given “Janet and Mei get same salary”

16000+1500x=19300+950x

In an attempt to get x terms in one side of the equation subtract 950x on both sides

16000+1500x−950x=19300+950x−950x

Combine like terms in both sides of the equation

16000+550x=19300

In the process of getting x in one side of the equation subtract 16000 on both sides

16000+550x−16000=19300−16000

Combine like terms on both sides

550x=3300

Divide 550 on both sides of the equation

550x550=3300550

Simplify fraction on both sides of the equation

x=6

Conclusion:

In 6 years both Mei and Janet will earn same salary

Chapter 3.5, Problem 14P

Chapter 3.5, Problem 16P

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

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