document.write( "Question 1067501: The basic model of a particular car​ (2WD) with a power sunroof costs ​$28,375. When equipped with​ four-wheel drive​ (4WD) and a​ sunroof, the​ vehicle's price rose to ​$30,955. The cost of the basic model with 4WD was ​$30,255. Find the basic​ price, the cost of​ 4WD, and the cost of a sunroof. \n" ); document.write( "
Algebra.Com's Answer #682660 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "The basic model of a particular car (2WD) with a power sunroof costs $28,375.
\n" ); document.write( "When equipped with four-wheel drive (4WD) and sunroof, the vehicle's price rose to $30,955.
\n" ); document.write( "The cost of the basic model with 4WD was $30,255.
\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 = 28375,     (1)    (\"The basic model of a particular car (2WD) with a power sunroof costs $28375.\")\r\n" );
document.write( "x + y + z = 30955,     (2)    (\"When equipped with four-wheel drive (4WD) and sunroof, the vehicle's price rose to $30955.\")\r\n" );
document.write( "x + y     = 30255.     (3)    (\"The cost of the basic model with 4WD was $30255.\")\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 = 30955 - 28375 = 2580.\r\n" );
document.write( "Thus the cost of 4DW is $2580.\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 = 30955 - 30255 = 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 = 28375 - z = 28375 - 700 = 27675.\r\n" );
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document.write( "Answer.  The basic models costs $27675. 4DW costs $2580.  The sunroof costs $700.\r\n" );
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