document.write( "Question 906197: It takes a painter 15 hours to prepare and paint one room. How many rooms could a painter paint in 52 hours? \n" ); document.write( "
Algebra.Com's Answer #549679 by Theo(13342)![]() ![]() You can put this solution on YOUR website! rate * time = quantity.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "quantity = 1 room prepared and painted.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "time = 15 hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for rate to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r*15 = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r = 1/15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the rate of preparing and painting 1 room is 1/15 of the room in one hour.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "therefore in 52 hours, the painter can prepare and paint 52 * 1/15 = 3.47 rooms rounded to 2 decimal places.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can also look at this as a ratio.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15/1 = 52/x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15 hours is to one painted room as 52 hours is to x painted rooms.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cross multiply to get 15x = 52\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of the equation by 15 to get x = 3.47 rounded to 2 decimal places.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |