document.write( "Question 623282: The sale price of a coffeemaker is $40.08. This is 40% off the original price. What was the original
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Algebra.Com's Answer #392022 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, there--\r\n" );
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document.write( "The Problem:\r\n" );
document.write( "The sale price of a coffeemaker is $40.08. This is 40% off the original price. What was the original\r\n" );
document.write( "price of the coffeemaker? \r\n" );
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document.write( "A Solution:\r\n" );
document.write( "The sale price of an item is equal to the original price less the discounted amount. In this case we have\r\n" );
document.write( "a 40% discount.\r\n" );
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document.write( "Let x be the original price of the coffee maker.\r\n" );
document.write( "The discount rate is 40%. To find the discounted amount, first convert 40% to its decimal\r\n" );
document.write( "representation: 40% = 0.40 \r\n" );
document.write( "The dollar amount of the discount is the discount rate times the original price, or 0.40*x.\r\n" );
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document.write( "The sale price is the original price minus the dollar amount of the discount, or\r\n" );
document.write( "[sales price] = [original price] - [dollar amount of discount]\r\n" );
document.write( "In algebra, this is\r\n" );
document.write( "40.08 = x - 0.4x\r\n" );
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document.write( "We solve for x to find the original price of the coffee maker. Combine like terms.\r\n" );
document.write( "40.08 = 0.60x\r\n" );
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document.write( "Divide both sides of the equation by 0.60.\r\n" );
document.write( "40.08/0.60 = x\r\n" );
document.write( "x = 66.80\r\n" );
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document.write( "The original price of the coffee maker was $66.80.\r\n" );
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document.write( "Feel free to email if you have questions about this solution.\r\n" );
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document.write( "Ms.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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