document.write( "Question 1118417: A boy spent 17/35 of his money on transport and food. If he spends 2/7 on transport only,what fraction does he spend on food \n" ); document.write( "
Algebra.Com's Answer #733725 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let x equql the amount of money he had.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he spent 17/35 of his money on transport and food.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let t = the money he spent on transport.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let f = the money he spent on food.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation for that would be 17/35 * x = t + f.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he spent 2/7 of his money on transport alone.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation for that would be 2/7 * x = t\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace t with 2/7 * x and the equation becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "17/35 * x = 2/7 * x + f.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 2/7 * x from both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "17/35 * x - 2/7 * x = f\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2/7 * x is equivalent to 10/35 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation becomes 17/35 * x - 10/35 * x = f\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get 7/35 * x = f\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get 1/5 * x = f.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's how much of his money he spent on food.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he spent 2/7 of his money on transport and 1/5 of his money on food.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2/7 * x + 1/5 * x is equal to 10/35 * x + 7/35 * x which is equal to 17/35 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution looks good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution is he spent 1/5 of his money on food.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |