Question 1172899
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A fruit company delivers its fruit {{{highlight(cross(and))}}} <U>in</U> two types of boxes large and small. A delivery of 2 large boxes and 12 small boxes 
has a total weight of 223 kg. A delivery of five large boxes and 3 small boxes has a total weight of 139 kg. 
How much does each type of box weigh?
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<pre>
From the condition, write two equations


    2x + 12y = 223    (1)

    5x + 3y = 139     (2)


Solve the system using the determinant method (the Cramer's rule)


    x = {{{(223*3 - 139*12)/(2*3-5*12)}}} = 18.5,


    y = {{{(2*139-5*223)/(2*3-5*12)}}} = 15.5.


<U>ANSWER</U>.  18.5 kg for a large box and 15.5 kg for a small box.
</pre>

Solved.


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On the Determinants' method for solving the systems of two linear equations in two unknowns see the lessons 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-syst-of-two-eqns-with-two-unknowns-using-det.lesson>Solution of the linear system of two equations in two unknowns using determinant</A> 

in this site.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lesson is the part of this online textbook under the topic "<U>Systems of two linear equations in two unknowns</U>".



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.