document.write( "Question 109853: Dear Tutors, \r
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document.write( "This question confuses me.
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document.write( "A book store is having a sale. All hardback books are 20% off, and all paperbacks are 10% off. Suppose you buy four paperbacks that originally cost $9 each and two hardbacks that originally cost $20 each. What percent of the total cost have you saved? Round to the nearest percent.\r
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document.write( "Whoever solves this may they explain how they got a answer. I need to know ASAP for a up coming test tomorrow. \n" );
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Algebra.Com's Answer #80066 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! Dear Tutors, \r \n" ); document.write( "\n" ); document.write( "This question confuses me. \n" ); document.write( "A book store is having a sale. All hardback books are 20% off, and all \n" ); document.write( "paperbacks are 10% off. Suppose you buy four paperbacks that originally \n" ); document.write( "cost $9 each and two hardbacks that originally cost $20 each. What \n" ); document.write( "percent of the total cost have you saved? Round to the nearest percent. \n" ); document.write( " \r\n" ); document.write( "This problem is badly worded. The red words \"total cost\" above could \r\n" ); document.write( "either mean the \"total cost\" you ACTUALLY paid for all the books, or\r\n" ); document.write( "they could mean the \"total cost\" you WOULD HAVE paid if the books had\r\n" ); document.write( "not been on sale.\r\n" ); document.write( "\r\n" ); document.write( "On each hardback you save 20% of $9, which is\r\n" ); document.write( "\r\n" ); document.write( ".20($20) = $4\r\n" ); document.write( "\r\n" ); document.write( "So on each of the hardbacks you save $4, so on\r\n" ); document.write( "both hardbacks you save 2×$4 or $8\r\n" ); document.write( "\r\n" ); document.write( "Each hardback originally sold for $20, and since $4 was\r\n" ); document.write( "subtracted from the price of each, you pay $20 - $4 or \r\n" ); document.write( "$16 for each hardback. Thus your total cost for the two\r\n" ); document.write( "hardbacks is 2×$16 or $32.\r\n" ); document.write( "\r\n" ); document.write( "On each paperback you save 10% of $9, which is\r\n" ); document.write( "\r\n" ); document.write( ".10($9) = $.90 or 90 cents\r\n" ); document.write( "\r\n" ); document.write( "So on each of the four paperbacks you save $.90, so on\r\n" ); document.write( "the four paperbacks you save 4×$.90 or $3.60\r\n" ); document.write( "\r\n" ); document.write( "Each paperback originally sold for $9, and since $.90 was\r\n" ); document.write( "subtracted from the price of each, you pay $9.00 - $.90 or\r\n" ); document.write( "$8.10 for each paperback. Thus your \"total cost\" for the \r\n" ); document.write( "four paperbacks is 4×$8.10 or $32.40.\r\n" ); document.write( "\r\n" ); document.write( "Your total savings is $8 saved on the hardbacks plus $3.60\r\n" ); document.write( "saved on the papersbacks, or your total savings is \r\n" ); document.write( "$8.00 + $3.60 or $11.60\r\n" ); document.write( "\r\n" ); document.write( "Your \"total cost\" for all the books is $32 for the hardbacks\r\n" ); document.write( "plus $32.40 for the paperbacks is $32.00 + $32.40 or $64.40\r\n" ); document.write( "\r\n" ); document.write( "Now if those red words \"total cost\" means what you ACTUALLY\r\n" ); document.write( "paid then the question we ask is:\r\n" ); document.write( "\r\n" ); document.write( "What percent of $64.40 is $11.60?\r\n" ); document.write( "\r\n" ); document.write( "So to find that we divide $11.60 by $64.40 and get .1801242236,\r\n" ); document.write( "which is 18.01242236%, or rounded to hundredths is 18.01%.\r\n" ); document.write( "\r\n" ); document.write( "Now if those red words \"total cost\" means what you WOULD HAVE\r\n" ); document.write( "paid if the books had not been on sale then we must first\r\n" ); document.write( "calculate what you WOULD HAVE paid if they had not been on\r\n" ); document.write( "sale. That would have been $20×2 or $40 for the hardbacks\r\n" ); document.write( "plus $9×4 or $36 for the paperbackas. That's a total of \r\n" ); document.write( "$40+$36 or $76 \r\n" ); document.write( "\r\n" ); document.write( "Now the question we would ask is:\r\n" ); document.write( "\r\n" ); document.write( "What percent of $76 is $11.60?\r\n" ); document.write( "\r\n" ); document.write( "So to find that we divide $11.60 by $76 and get .1526315789,\r\n" ); document.write( "which is 15.26315789%, or rounded to hundredths is 15.26%.\r\n" ); document.write( "\r\n" ); document.write( "Sorry I can't tell which the red words mean. Be sure to\r\n" ); document.write( "ask your teacher.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |