document.write( "Question 112547: The gas guage on the van initially read 1/8 full. When 15 gallons were added to the tank the guage read 3/4 full. How many more gallons are needed to fill the tank? I know the answer is 6 but I can't get an equation to prove it. \n" ); document.write( "
Algebra.Com's Answer #82074 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Let x = number of gallons in the tank when full.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You begin with 1/8 of the full tank, you add 15 gallons, and what you have is 3/4 of a full tank. So where x represents the \"full tank\", the equation is\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply both sides of the equation by the LCD, which is 8: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since you ended up with 3/4 of a tank, you have 3/4 of 24 which is 18 gallons in the car. It will take 6 gallons to fill it the rest of the way.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Pretty neat problem!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 \n" ); document.write( " |