Question

Determine whether the statement is true or false. The Better Business Bureau received the most complaints from consumers about cell-phone providers and cable/satellite TV providers in 2009 . These two industries accounted for a total of $70,093$ complaints, with cable/satellite TV providers receiving 4861 fewer complaints than cell-phone providers (Source: Better Business Bureau). How many complaints did each industry receive?

Name: Problem 51, Chapter 9: Algebra and Trigonometry
Uploaded: 2020-07-09T00:51:16-08:00
Duration: 1 min 27 s
Channel: Ankit Gupta

   Determine whether the statement is true or false.
The Better Business Bureau received the most complaints from consumers about cell-phone providers and cable/satellite TV providers in 2009 . These two industries accounted for a total of $70,093$ complaints, with cable/satellite TV providers receiving 4861 fewer complaints than cell-phone providers (Source: Better Business Bureau). How many complaints did each industry receive?

Algebra and Trigonometry

Judith A. Beecher,… 4th Edition

Chapter 9, Problem 51

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Solved by Expert Ankit Gupta

07/09/2020

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Step 1: Let's denote the number of complaints received by cell-phone providers as $X$ and the number of complaints received by cable/satellite TV providers as $Y$. Show more…

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Determine whether the statement is true or false. The Better Business Bureau received the most complaints from consumers about cell-phone providers and cable/satellite TV providers in 2009 . These two industries accounted for a total of $70,093$ complaints, with cable/satellite TV providers receiving 4861 fewer complaints than cell-phone providers (Source: Better Business Bureau). How many complaints did each industry receive?

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Key Concepts

System of Linear Equations

This concept involves forming and solving two or more equations that contain the same set of unknowns. In many word problems, relationships (such as sums and differences) between the quantities translate naturally into a system of linear equations that can be solved simultaneously.

Translating Word Problems into Algebra

This involves interpreting verbal descriptions and numerical relationships in a problem to create algebraic expressions and equations. Recognizing keywords and quantitative relationships is essential to model the scenario accurately and apply algebraic methods.

Linear Relationships

This refers to the type of relationship between variables that can be expressed using linear equations. In problems where one quantity is described as being a certain amount more or less than another, the linear relationship simplifies the modeling and solving process using basic arithmetic operations.

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