document.write( "Question 1149813: A car dealer stocks mid-size and full size cars on her lot, which holds 60 cars. On the average, she borrows $13,000 to purchase a mid-size car and $18,000 to purchase a full size car. How many cars of each type could she stock if her total debt is 1 million. How many cars of each type could she stock if her total debt is 1 million? Set up and solve a system using either elimination or substitution. \n" ); document.write( "

Algebra.Com's Answer #771163 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "Let M be the number of the mid-size cars and\r\n" );
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document.write( "let F be the number of the full size cars.\r\n" );
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document.write( "Then you have these 2 equations in 2 unknowns\r\n" );
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document.write( "       M +     F =   60       (1)    (counting cars)\r\n" );
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document.write( "     13*M + 18*F = 1000       (2)    (counting money in thousand dollars)\r\n" );
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document.write( "Using substitution method, from equation (1) express  M = 60 - F  and substitute it into equation (2). You will get\r\n" );
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document.write( "     13*(60-F) + 18F = 1000.   (3)\r\n" );
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document.write( "Simplify; express F and calculate\r\n" );
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document.write( "     F =  = 44.\r\n" );
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document.write( "ANSWER.  44 full size cars,  and the rest,  60-44 = 16 mid-size cars.\r\n" );
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document.write( "CHECK.   44*18 + 16*13 = 1000 thousands dollars.  ! Precisely correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Buying tickets; buying shirts and socks; buying roses and violets; counting calories and grams of fats in combined food;\r
\n" ); document.write( "\n" ); document.write( "buying oranges and apples --- all these problems are of the same type and can be solved by the same method.\r
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\n" ); document.write( "\n" ); document.write( "See the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Oranges and grapefruits \r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on tickets \r
\n" ); document.write( "\n" ); document.write( "    - Three methods for solving standard (typical) problems on tickets\r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on shares \r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on investment\r
\n" ); document.write( "\n" ); document.write( "    - Two mechanics work on a car \r
\n" ); document.write( "\n" ); document.write( "    - The Robinson family and the Sanders family each used their sprinklers last summer\r
\n" ); document.write( "\n" ); document.write( "    - Roses and vilolets \r
\n" ); document.write( "\n" ); document.write( "    - Counting calories and grams of fat in combined food\r
\n" ); document.write( "\n" ); document.write( "    - A theater group made appearances in two cities\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO algebreze and solve these problems on 2 equations in 2 unknowns \r
\n" ); document.write( "\n" ); document.write( "    - One unusual problem to solve using system of two equations \r
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