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 9.7, Problem 12P
To determine
To solve: the system of equations in two variables.
Expert Solution & Answer
Answer to Problem 12P
The age of Cecilia is 30 years old now and age of Joe is 54 years old now.
Explanation of Solution
Given information:
Cecilia is 24 years younger than Joe. Six years ago she was half as old as he was.
Formula used:
Age problem.
Step1. The problem asks for the Bob’s age and Claire’s age now.
Step2. Let b = the Cecilia’s age now.
Let c = the Joe‘s age now.
Step3. Use the facts of the problem to write two equations.
Step4. Solve the equations.
Calculation:
Consider ,
Let b = the Cecilia’s age now.
Let c = the Joe’s age now.
| Age | Six year ago |
| Cecilia | |
| Joe |
According to the equation,
Also,
Substituting equation (i) in (ii)
Putting value of c in equation (i) we get,
Hence, the age of Cecilia is 30 years old now and age of Joe is 54 years old now.
Chapter 9 Solutions
Algebra: Structure And Method, Book 1
Ch. 9.1 - Prob. 1OECh. 9.1 - Prob. 2OECh. 9.1 - Prob. 3OECh. 9.1 - Prob. 4OECh. 9.1 - Prob. 5OECh. 9.1 - Prob. 6OECh. 9.1 - Prob. 7OECh. 9.1 - Prob. 8OECh. 9.1 - Prob. 9OECh. 9.1 - Prob. 1WE
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Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
UG/ linear equation in linear algebra; Author: The Gate Academy;https://www.youtube.com/watch?v=aN5ezoOXX5A;License: Standard YouTube License, CC-BY
System of Linear Equations-I; Author: IIT Roorkee July 2018;https://www.youtube.com/watch?v=HOXWRNuH3BE;License: Standard YouTube License, CC-BY