document.write( "Question 1033401: Campbell has 2 more toys than he needs in order to have one-half the number of toys Noah has. Campbell is 3 short of three-quarters the number of toys Noah has. How many toys does Campbell have? \n" ); document.write( "
Algebra.Com's Answer #647992 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let c represent the number of toys that campbell has. \n" ); document.write( "let n represent the number of toys that noah has.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c = .5 * n + 2 \n" ); document.write( "this means that campbell has 2 more toys than half the toys that noah has.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c = .75 * n - 3 \n" ); document.write( "this means that campbell has 3 less toys than three quarters of the toys that noah has.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have two equations that need to be solved simultaneously.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "they are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c = .5 * n + 2 \n" ); document.write( "c = .75 * n - 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract the first equation from the second equation to get 0 = .25 * n - 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 5 to both sides of the equation to get 5 = .25 * n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of the equation by .25 to get 5/.25 = n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for n to get n = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "noah has 20 toys.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "campbell has 2 more than half of noah's toys means that campbell has 12.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "campbell has 3 less than three quarters of noah's toys means that campbell has 12.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the numbers check out.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "noah has 20. \n" ); document.write( "campbell has 12.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |