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 #82081 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=number of additional gallons needed to fill the tank\r \n" ); document.write( "\n" ); document.write( "The 15 gal alone that were added filled the tank to (3/4-1/8) or 5/8 capacity. Since the tank was already 1/8 full, only 1/4 now remains to be filled. So we have the following ratio: \n" ); document.write( "15 is to 5/8 as x is to 1/4 or 2/8 \n" ); document.write( "15/(5/8)=x/(2/8) cross multiply\r \n" ); document.write( "\n" ); document.write( "15(2/8)=(5/8)x multiply both sides by 8\r \n" ); document.write( "\n" ); document.write( "30=5x divide both sides by 5\r \n" ); document.write( "\n" ); document.write( "x=6 gal\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " |