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7. Esther, her mother and her grandmother have an average age of 53. Half of her grandmother's age, plus one third of her mother's age, plus one fourth of Esther's age is 65. Four years ago, Esther's grandmother was four times as old as Esther. Write down the system of three linear equations and use Cramer's rule to find how old are they all now.

7. Esther, her mother and her grandmother have an average age of 53. Half of her grandmother's age, plus one third of her mother's age, plus one fourth of Esther's age is 65. Four years ago, Esther's grandmother was four times as old as Esther. Write down the system of three linear equations and use Cramer's rule to find how old are they all now.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section: Chapter Questions
Problem 2SGR
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7. Esther, her mother and her grandmother have an average age of 53. Half of her grandmother's age, plus one third of her mother's age, plus one fourth of Esther's age is 65. Four years ago, Esther's grandmother was four times as old as Esther. Write down the system of three linear equations and use Cramer's rule to find how old are they all now.
Transcribed Image Text:7. Esther, her mother and her grandmother have an average age of 53. Half of her grandmother's age, plus one third of her mother's age, plus one fourth of Esther's age is 65. Four years ago, Esther's grandmother was four times as old as Esther. Write down the system of three linear equations and use Cramer's rule to find how old are they all now.
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