document.write( "Question 912650: A water tank is currently 33.3% full. If 3 more gallons are added the tank will be 50% full. Find the capacity of the tank. \n" ); document.write( "
Algebra.Com's Answer #553956 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let x = full capacity of the tank (in gallons)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The tank is currently 33.3% full, so it is 0.333x gallons full.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 3 more gallons to get 0.333x + 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Set this equal to 0.5x because this represents 50% full capacity\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.333x + 3 = 0.5x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3 = 0.5x - 0.333x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3 = 0.167x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.167x = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 3/0.167\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 17.9640718562874\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If we round to the nearest gallon, we get 18 gallons. So the tank is roughly 18 gallons. This is an overestimate if you use 33.3% but an exact measurement if you use 33 1/3%\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Either way, I'd say the full capacity of the tank is 18 gallons.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let me know if you need more help or if you need me to explain a step in more detail. \n" ); document.write( "Feel free to email me at jim_thompson5910@hotmail.com \n" ); document.write( "or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thanks,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim \n" ); document.write( " |