To find:
How many newspaper ads and radio ads you should run each month?
Answer to Problem 23E
You should run 30 newspaper ads and 20 radio ads each month.
Explanation of Solution
Given:
You own a business that advertises in a local newspaper and over the radio. A newspaper ad costs $600. A radio ad costs $300. You have a monthly budget of $24,000 and want to run 50 ads each month.
Calculation:
Let x represent number of newspaper ads and y represent number of radio ads.
We have been given that you want to run 50 ads each month, so number of radio ads and newspaper ads should be equal to 50. We can represent this information in an equation as:
The cost of each newspaper ad is $600, so cost of xnewspaper ads would be
The cost of each radio ad is $300, so cost of y radio ads would be
Since the monthly budget is $24,000, so cost of newspaper ads and radio ads should be equal to $24,000.We can represent this information in an equation as:
Now we will use substitution method to solve our system of equations. From equation (1), we will get:
Upon substituting this value in equation (2), we will get:
Therefore, you should run 20 radio ads each month.
Now we will substitute
Therefore, you should run 30 newspaper ads each month.
Chapter 8 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Additional Math Textbook Solutions
College Algebra (5th Edition)
Intermediate Algebra
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
Introductory and Intermediate Algebra for College Students (5th Edition)
Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
Linear Algebra with Applications (2-Download)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education