document.write( "Question 1058411: The basic model of a particular car​ (2WD) with a power sunroof costs ​$27,485. When equipped with​ four-wheel drive​ (4WD) and a​ sunroof, the​ vehicle's price rose to ​$30,105. The cost of the basic model with 4WD was ​$29,405. Find the basic​ price, the cost of​ 4WD, and the cost of a sunroof. \n" ); document.write( "
Algebra.Com's Answer #673715 by ikleyn(52776)\"\" \"About 
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\n" ); document.write( "The basic model of a particular car (2WD) with a power sunroof costs $27,485. When equipped with four-wheel drive (4WD) and sunroof,
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\n" ); document.write( "Find the basic price, the cost of 4WD, and the cost of a sunroof.
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document.write( "Let x = the cost of the basic model,\r\n" );
document.write( "    y = the cost of 4DW,\r\n" );
document.write( "    z = the cost of the sunroof.\r\n" );
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document.write( "Then you are given these three equations\r\n" );
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document.write( "x +     z = 27485,     (1)    (\"The basic model of a particular car (2WD) with a power sunroof costs $27,485.\")\r\n" );
document.write( "x + y + z = 30105,     (2)    (\"When equipped with four-wheel drive (4WD) and sunroof, the vehicle's price rose to $30,105.\")\r\n" );
document.write( "x + y     = 29405.     (3)    (\"The cost of the basic model with 4WD was $29,405.\")\r\n" );
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document.write( "The solution is very easy and straightforward.\r\n" );
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document.write( "First, distract the equation (1) from the equation (2). You instantly will get the solution for y: y = 30105 - 27485 = 2620.\r\n" );
document.write( "Thus the cost of 4DW is $2620.\r\n" );
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document.write( "Next, distract the equation (3) from the equation (2). You instantly will get the solution for z: z = 30105 - 29405 = 700.\r\n" );
document.write( "Thus the cost of the sunroof is $700.\r\n" );
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document.write( "By having this, you can now find x from any of the equations (1), (2) or (3).\r\n" );
document.write( "For example, from (1) x = 27485 - z = 27485 - 700 = 26785.\r\n" );
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document.write( "Answer.  The basic models costs $26785. 4DW costs $2620.  The sunroof costs $700.\r\n" );
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