SOLUTION: At the local convenience store, 7 bags of chips and 3 containers of dip cost $33. However, 3 bags of chips and 4 containers of dip cost $25. What is the cost of one bag of chips a

Question 1149438: At the local convenience store, 7 bags of chips and 3 containers of dip cost $33. However, 3 bags of chips
and 4 containers of dip cost $25. What is the cost of one bag of chips and one container of dip?
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.


"b" for bags;  "c" for containers.


The system of 2 equations in 2 unknowns is


    7b + 3c = 33

    3b + 4c = 25.


Solve using determinants (Cramer's rule).


    b =  = 3 dollar for bag.


Now, substituting this value  b= 3 into first equation, you get


    c = (33-7*3)/3 = 4 dollars for container.

Solved.

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On Cramer's rule for solving systems of 2 equations in 2 unknowns see the lessons
    - What is a matrix?
    - Determinant of a 2x2-matrix
    - HOW TO solve system of linear equations in two unknowns using determinant (Cramer's rule)
    - Solving systems of linear equations in two unknowns using the Cramer's rule
    - Solving word problems by the Cramer's rule after reducing to systems of linear equations in two unknowns
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic
     "2x2-Matrices, determinants, Cramer's rule for systems in two unknowns"

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

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