document.write( "Question 157664: A boat weighs 1500lbs more then its motor and 1900lbs more then its trailer. Together the boat and motor weigh five times as much as the trailer. How much does the boat weigh? \n" ); document.write( "
Algebra.Com's Answer #116176 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A boat weighs 1500lbs more then its motor and 1900lbs more then its trailer. Together the boat and motor weigh five times as much as the trailer. How much does the boat weigh? \n" ); document.write( ". \n" ); document.write( "Let b = weight of boat \n" ); document.write( "then from: \"A boat weighs 1500lbs more then its motor\" \n" ); document.write( "b-1500 = weight of motor \n" ); document.write( "and from: \"and 1900lbs more then its trailer\" \n" ); document.write( "b-1900 = weight of trailer \n" ); document.write( ". \n" ); document.write( "To derive our equation, we use \"Together the boat and motor weigh five times as much as the trailer\" \n" ); document.write( "b + (b-500) = 5(b-1900) \n" ); document.write( "b + b - 500 = 5b - 9500 \n" ); document.write( "2b - 500 = 5b - 9500 \n" ); document.write( "-500 = 3b - 9500 \n" ); document.write( "9000 = 3b \n" ); document.write( "3000 lbs = b (weight of boat)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |