document.write( "Question 1172899: A fruit company delivers its fruit and 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? \n" ); document.write( "
Algebra.Com's Answer #798045 by ikleyn(52779)\"\" \"About 
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\n" ); document.write( "A fruit company delivers its fruit \"highlight%28cross%28and%29%29\" in two types of boxes large and small. A delivery of 2 large boxes and 12 small boxes
\n" ); document.write( "has a total weight of 223 kg. A delivery of five large boxes and 3 small boxes has a total weight of 139 kg.
\n" ); document.write( "How much does each type of box weigh?
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document.write( "From the condition, write two equations\r\n" );
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document.write( "    2x + 12y = 223    (1)\r\n" );
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document.write( "    5x + 3y = 139     (2)\r\n" );
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document.write( "Solve the system using the determinant method (the Cramer's rule)\r\n" );
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document.write( "    x = \"%28223%2A3+-+139%2A12%29%2F%282%2A3-5%2A12%29\" = 18.5,\r\n" );
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document.write( "    y = \"%282%2A139-5%2A223%29%2F%282%2A3-5%2A12%29\" = 15.5.\r\n" );
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document.write( "ANSWER.  18.5 kg for a large box and 15.5 kg for a small box.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On the Determinants' method for solving the systems of two linear equations in two unknowns see the lessons \r
\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns using determinant \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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