document.write( "Question 1182531: The ratio of Geoff’s allowance to Ken’s allowance is 7:11. If Ken gives Geoff $84, they will have the same amount of money. How much do they have altogether? \r
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Algebra.Com's Answer #812610 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "The ratio of Geoff’s allowance to Ken’s allowance is 7:11. \n" ); document.write( "If Ken gives Geoff $84, they will have the same amount of money. \n" ); document.write( "How much do they have altogether? \n" ); document.write( "~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Ken's allowance 11x dollars;\r\n" ); document.write( "\r\n" ); document.write( "Geoff's allowance is 7x dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Had Ken give Geoff $84, the two quantities would be equal\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 11x - 84 = 4x + 84.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is the basic equation for the problem to setup.\r\n" ); document.write( "\r\n" ); document.write( "Now we should solve it.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 11x - 4x = 84 + 84\r\n" ); document.write( "\r\n" ); document.write( " 7x = 168\r\n" ); document.write( "\r\n" ); document.write( " x = 168/7 = 24 dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Altogether, they have 11x + 7x = 11*24 + 7*24 = 432 dollars and zero cents. ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To see many other similar (and different) solved problems of this kind, look into the lesson\r \n" ); document.write( "\n" ); document.write( " - Virtual exchange between two persons\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |