document.write( "Question 1200570: you have a coupon for $100 off the price of a TV. When you arrive at the store, you find that the TVs are on sale for 25% off. Let x represent the original price of the TV. \n" ); document.write( "
Algebra.Com's Answer #834720 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the TVs are on sale for 25% off. \n" ); document.write( "your coupon gives you $100 off the price of a TV. \n" ); document.write( "if you are talking about the same TV, then $100 is equal to 25% of the price of the TV. \n" ); document.write( "divide 100 by .25 to find that the original price of the TV would have to be $400. \n" ); document.write( "$400 minus $100 = $300 \n" ); document.write( "$400 - .25 * $400 = $400 - $100 = $300.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "algebraicaly, you would have two equation that need to be solved simultaneously that would look like this. \n" ); document.write( "y = x - .25 * x which is simplified to y = .75 * x is your first equation. \n" ); document.write( "your second equation would be y = x - 100 \n" ); document.write( "these two equations would need to be solved simultaneously. \n" ); document.write( "they are: \n" ); document.write( "y = .75 * x \n" ); document.write( "y = x - 100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since they are both equal to the same value of y, set them equal to each other to get: \n" ); document.write( ".75 * x = x - 100 \n" ); document.write( "subtract .75 * x from both sides of the equation and add 100 to both sides of the eqution to get: \n" ); document.write( "100 = .25 * x \n" ); document.write( "solve for x to get: \n" ); document.write( "x = 400\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x is the original price of the TV. \n" ); document.write( ".75 * 400 = 300 \n" ); document.write( "400 - 100 = 300\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it all checks out. \n" ); document.write( "your solution is x = 400 which is the original price of the TV.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |