document.write( "Question 1189806: A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 5 tables is $57. The total cost to rent 12 chairs and 2 tables is $39.
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Algebra.Com's Answer #821289 by ikleyn(52794) $\"\"$ $\"About$

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\n" ); document.write( "A party rental company has chairs and tables for rent.
\n" ); document.write( "The total cost to rent 3 chairs and 5 tables is $57. The total cost to rent 12 chairs and 2 tables is $39.
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document.write( "Let x be the cost to rent a chair;  \r\n" );
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document.write( "let y be the cost to rent a table.\r\n" );
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document.write( "Write two equations for two unknowns as you read the problem\r\n" );
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document.write( "    3x  + 5y = 57     (1)\r\n" );
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document.write( "    12x + 2y = 39     (2)\r\n" );
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document.write( "This system is good to solve it by Elimination.  For it, multiply equation (1) by 4 (both sides).\r\n" );
document.write( "Keep equation (2) as is.  Then you have this modified system\r\n" );
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document.write( "    12x + 20y = 4*57      (3)\r\n" );
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document.write( "    12x +  2y =   39      (4)\r\n" );
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document.write( "Now subtract equation (4) from equation (3).  The terms with \"x\" will delete each other,\r\n" );
document.write( "and you will get an equation for single unknown \"y\"\r\n" );
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document.write( "         20y - 2y = 4*57 - 39\r\n" );
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document.write( "Simplify and find y\r\n" );
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document.write( "            18y  = 189\r\n" );
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document.write( "              y  = 189/18 = 10.50  dollars.\r\n" );
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document.write( "Then from equation (2) find \r\n" );
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document.write( "    12x + 2*10.50 = 39\r\n" );
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document.write( "    12x           = 39 - 21 = 18\r\n" );
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document.write( "     x                      = 18/12 = 1.50 dollars.\r\n" );
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document.write( "ANSWER.  It cost $10.50 to rent one table and $1.50 to rent one chair.\r\n" );
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document.write( "CHECK.   To check, substitute the found values into original equations:\r\n" );
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document.write( "         Eq(1):  3*1.50 + 5*10.50 = 57 dollars,  correct.\r\n" );
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document.write( "         Eq(2): 12*1.50 + 2*10.50 = 39 dollars,  correct.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar and different solved word problems, look into the lessons\r
\n" ); document.write( "\n" ); document.write( " - Typical word problems on systems of 2 equations in 2 unknowns \r
\n" ); document.write( "\n" ); document.write( " - HOW TO algebreze and solve this problem on 2 equations in 2 unknowns \r
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\n" ); document.write( "\n" ); document.write( "Learn the subject from there.\r
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