document.write( "Question 464489: divide 150 into three parts such that the second number is five-sixths the first and the third number is four-fifths the second. \n" ); document.write( "
Algebra.Com's Answer #318219 by amoresroy(361)![]() ![]() You can put this solution on YOUR website! Let x = the first number \n" ); document.write( " 5x/6= the second number \n" ); document.write( "(4/5)(5x/6) = the third number= 2x/3\r \n" ); document.write( "\n" ); document.write( "x+5x/6+2x/3 = 150 \n" ); document.write( "Multiply both sides by 6 to get \n" ); document.write( "6x+5x+4x = 900 \n" ); document.write( "x = 900/15 \n" ); document.write( "x = 60 (first number) \n" ); document.write( "2nd number: \n" ); document.write( "5*60/6 = 50 \n" ); document.write( "3rd number: \n" ); document.write( "4*50/5 = 40\r \n" ); document.write( "\n" ); document.write( "The numbers are 60, 50, and 40. \n" ); document.write( " |