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
\n" ); document.write( "\n" ); document.write( "I tried and tried
\n" ); document.write( "

Algebra.Com's Answer #76195 by mathnard(10)\"\" \"About 
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 \"108%2F100\" * * *\r
\n" ); document.write( "\n" ); document.write( "so \"%28108%2F100%29%2Ax=172.80\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now let's solve this equation.
\n" ); document.write( "\"%28108%2F100%29%2Ax=172.80\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "divide the 108 by 100 to get
\n" ); document.write( "\"1.08x=172.80\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "divide both sides by 1.08:
\n" ); document.write( "\"%281.08x%29%2F1.08=172.80%2F1.08\"\r
\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( "\"x=160\"\r
\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( "
\n" );