document.write( "Question 886761: 12 buckets are needed to fill a tank of capacity 33L. If the capacity of the bucket reduces to 2/3 of it, how many buckets of water are needed to fill the tank? \n" ); document.write( "
Algebra.Com's Answer #536125 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the easiest way to solve this is as follows (my opinion only).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are given that 12 buckets = 33 liters \n" ); document.write( "let x = number of liters per bucket. \n" ); document.write( "you get: \n" ); document.write( "12 * x = 33 \n" ); document.write( "solve for x to get x = 33/12 liters per bucket.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is the capacity of the original bucket.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply 33/12 by 2/3 to get 66/36. \n" ); document.write( "that's the capacity of the smaller bucket.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let y = the number of smaller buckets. \n" ); document.write( "you get: \n" ); document.write( "y * 66/36 = 33 \n" ); document.write( "this is telling you that you need y buckets with a capacity of 66/36 liters per bucket to fill a tank that has a capacity of 33 liters. \n" ); document.write( "divide both sides of this equation by (66/36) to get: \n" ); document.write( "y = 33 / (66/36) which becomes y = 33 * 36 / 66 which becomes y = 18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you need 18 of the smaller capacity buckets to fill the tank with a capacity of 33 liters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |