4. Pak Majid sells eggs grade 4,Band C. The total price of a grade A egg and a grade B egg is three times the price of a grade Cegg. Pak Majid sells 80 grade A eggs, 95 grade B eggs and 60 grade C eggs to Pak Abu. Pak Majid also sells 55 grade A eggs, 70 grade B eggs and 90 grade C eggs to Pak Hamid. Pak Abu and Pak Hamid pays RM 160.50 and RM 138 respectively to Pak Majid. a) If x, yand z represents the price of a grade A egg, a grade B egg and a grade C egg respectively, write a system of linear equations to represent the above information. b) Rewrite the system of linear equations in matrix form. c) Solve for the values of x,y and zusing Cramer's Rule.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 11P
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4. Pak Majid sells eggs grade 4,Band C. The total price of a grade A egg and a grade B
egg is three times the price of a grade Cegg. Pak Majid sells 80 grade A eggs, 95 grade B
eggs and 60 grade C eggs to Pak Abu. Pak Majid also sells 55 grade A eggs, 70 grade B
eggs and 90 grade C eggs to Pak Hamid.
Pak Abu and Pak Hamid pays RM 160.50 and RM 138 respectively to Pak Majid.
a) If x, yand z represents the price of a grade A egg, a grade B egg and a grade C
egg respectively, write a system of linear equations to represent the above
information.
b) Rewrite the system of linear equations in matrix form.
c) Solve for the values of x,y and zusing Cramer's Rule.
Transcribed Image Text:4. Pak Majid sells eggs grade 4,Band C. The total price of a grade A egg and a grade B egg is three times the price of a grade Cegg. Pak Majid sells 80 grade A eggs, 95 grade B eggs and 60 grade C eggs to Pak Abu. Pak Majid also sells 55 grade A eggs, 70 grade B eggs and 90 grade C eggs to Pak Hamid. Pak Abu and Pak Hamid pays RM 160.50 and RM 138 respectively to Pak Majid. a) If x, yand z represents the price of a grade A egg, a grade B egg and a grade C egg respectively, write a system of linear equations to represent the above information. b) Rewrite the system of linear equations in matrix form. c) Solve for the values of x,y and zusing Cramer's Rule.
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