document.write( "Question 315562: Set up a linear equation that models each problem and solve. Show your work.\r
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\n" ); document.write( "\n" ); document.write( "Christine bought a handbag for $53.40 on sale. It was marked down 40% off the original price. How much did Christine save?\r
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Algebra.Com's Answer #225776 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Let x = original price\r
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\n" ); document.write( "\n" ); document.write( "Since \"Christine bought a handbag for $53.40 on sale\" and \"It was marked down 40% off the original price\", this means that \"x-0.40x=53.40\". Basically, take 40% of 'x' by multiplying 0.40 and 'x' and subtract that from the original amount 'x' to get the left side. This entire left side is equal to the final price 53.40\r
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\n" ); document.write( "\n" ); document.write( "\"x-0.40x=53.40\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"0.60x=53.40\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"x=53.40%2F%280.60%29\" Divide both sides by 0.60 to isolate x.\r
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\n" ); document.write( "\n" ); document.write( "\"x=89\" Divide\r
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\n" ); document.write( "\n" ); document.write( "So the original price was $89. Now subtract the sale price from the original price to get 89-53.40=35.60, so this means that she saved $35.60\r
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\n" ); document.write( "\n" ); document.write( "Take note that 40% of 89 is 0.40(89)=35.60 and if you subtract this from 89, you get 89-35.60=53.40 which is the sale price. So our answer is verified.
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