document.write( "Question 104691: Including 8% sales tax, a bed-and-breakfast inn charges $172.80 per night Find the inn's nightly cost before the tax is added.\r
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Algebra.Com's Answer #76195 by mathnard(10) ![]() You can put this solution on YOUR website! Take a look at the problem. Doesn't the amount $172.80 includes 100% of the cost of a room, plus another 8% of the cost? This means that the $172.80 is actually 108% of the original cost. The word OF means multiply.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "108% OF the original cost is equal to $172.80 \n" ); document.write( "* * * Remember that 108% means 108 out of 100 or \n" ); document.write( "\n" ); document.write( "so \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now let's solve this equation. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide the 108 by 100 to get \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides by 1.08: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the 1.08s cancel on the left and we do the division on the right side leaving us with: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This means that the cost of a room at the bed and breakfast was $160.00 per night. Notice that 8% sales tax on this would be .08(160) or 12.80. What's 160+12.80? $172.80 or the total price!!! \n" ); document.write( " |