SOLUTION: Fran went to the produce store and bought 3 kiwis and 5 pomegranates for $2.40. Wilma went to the same store and for the same prices bought 4 kiwis and 7 pomegranates for $3.31. Ho

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Fran went to the produce store and bought 3 kiwis and 5 pomegranates for $2.40. Wilma went to the same store and for the same prices bought 4 kiwis and 7 pomegranates for $3.31. Ho      Log On

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Question 1172074: Fran went to the produce store and bought 3 kiwis and 5 pomegranates for $2.40. Wilma went to the same store and for the same prices bought 4 kiwis and 7 pomegranates for $3.31. How much did each pomegranate cost?
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
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    3K + 5P = 2.40,    (1)

    4K + 7P = 3.31.    (2)


Use the determinant method (same as the Cramer's rule) and find the price for each pomegranate in one line


    P = %283%2A3.31-4%2A2.40%29%2F%283%2A7+-+4%2A5%29 = 0.33.


ANSWER.  The price of a pomegranate in this store that day was  $0.33.

Solved.

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On the Determinant method for solving the systems of two linear equations in two unknowns see the lessons
    - Solution of the linear system of two equations in two unknowns using determinant
in this site.

To see other similar problems solved using the determinant method,  look into the lesson
    - Typical word problems on systems of 2 equations in 2 unknowns ,  Problems  3  and  7
in this site.

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

The referred lessons are the part of this online textbook under the topic "Systems of two linear equations in two unknowns".


Save the link to this online textbook together with its description

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

to your archive and use it when it is needed.