document.write( "Question 1078502: Divide rs 287 among 3 boys and 5 girls such that each girl gets half o what a boy gets.so each boy will get rs? \n" ); document.write( "
Algebra.Com's Answer #692939 by Theo(13342)![]() ![]() You can put this solution on YOUR website! you are dividing 287 rs among 3 boys and 5 girls. \n" ); document.write( "each girl gets half of what each boy gets.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x = the amount that each girl gets. \n" ); document.write( "then 2x = the amount that each boy gets.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since there are 3 boys and 5 girls, then:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3 * 2x + 5 * x = 287\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get 6x + 5x = 287\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get 11x = 287\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides by 11 to get x = 287 / 11 = (26 + 1/11) rs\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "each girls gets (26 + 1/11) rs.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "each boy gets 2 times that = (52 + 2/11) rs.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since there are 5 girls, the total amount given to the girls is 5 * (26 + 1/11) = 130 + 5/11 = (130 + 5/11) rs..\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since there are 3 boys, the total amount given to the boys is 3 * (52 + 2/11) = 156 + 6/11 = (156 + 6/11) rs.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total amount given to the boys and girls is (130 + 5/11) + (156 + 6/11) = (286 + 11/11) = 287 rs.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "numbers look good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your answer is that each girl receives (26 + 1/11) rs and each boy receives (52 + 2/11) rs.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |