document.write( "Question 665178: A hotel room bill for 5 nights was $706.25 including a 13% tax. What was the price before tax? \n" ); document.write( "
Algebra.Com's Answer #413715 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Hi, there--\r\n" );
document.write( "\r\n" );
document.write( "Problem:\r\n" );
document.write( "A hotel room bill for 5 nights was $706.25 including a 13% tax. What was the price before tax?\r\n" );
document.write( "\r\n" );
document.write( "Solution:\r\n" );
document.write( "We can solve this by working backwards. We know that the final cost of the room (after tax)\r\n" );
document.write( "was $706.25. The tax rate is 13%, or 0.13 in decimal form.\r\n" );
document.write( "\r\n" );
document.write( "Let's have x be the cost of the room for 5 nights before tax.\r\n" );
document.write( "\r\n" );
document.write( "Let's map this out:\r\n" );
document.write( "[the cost of the room (before tax)] + [13%] = [final cost]\r\n" );
document.write( "\r\n" );
document.write( "In algebra, we have\r\n" );
document.write( "x + 0.13x = 706.25\r\n" );
document.write( "\r\n" );
document.write( "We solve for x to find the cost of the room. Combine like terms.\r\n" );
document.write( "1.13x = 706.25\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides of the equation by 1.13.\r\n" );
document.write( "x = 625\r\n" );
document.write( "\r\n" );
document.write( "In the context of this problem x=625 means that the cost of the room for five days before tax \r\n" );
document.write( "is $625.00.\r\n" );
document.write( "\r\n" );
document.write( "If you want the daily rate for the room, divide $625.00 by 5.\r\n" );
document.write( "625.00/5 = 125\r\n" );
document.write( "\r\n" );
document.write( "The daily rate for the room is $125.00\r\n" );
document.write( "\r\n" );
document.write( "~Mrs.Figgy\r\n" );
document.write( "
\n" ); document.write( "
\n" );