document.write( "Question 543209: Heidi makes a bank deposit of $59500 with 96 bills consisting of $500 and $1000 bills. How many of each kind of bills did she deposit? , Im very Thankful that u had this site.. Tnx a lot!!!\r
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Algebra.Com's Answer #354881 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Heidi makes a bank deposit of $59500 with 96 bills consisting of $500 and $1000 bills. \n" ); document.write( " How many of each kind of bills did she deposit? \n" ); document.write( ": \n" ); document.write( "Let t = no. of $1000 bills \n" ); document.write( "Let f = no. of $500 bills \n" ); document.write( ": \n" ); document.write( "A total of 96 bills, therefore \n" ); document.write( "t + f = 96 \n" ); document.write( ": \n" ); document.write( "A value of $59500 \n" ); document.write( "1000t + 500f = 59500 \n" ); document.write( ": \n" ); document.write( "We can use elimination here. multiply the 1st equation by -500, add to the above equation \n" ); document.write( "1000t + 500f = 59500 \n" ); document.write( "-500t - 500f =-48000 \n" ); document.write( "-------------------------additions eliminates f, find t \n" ); document.write( "500t = 11500 \n" ); document.write( "t = 11500/500 \n" ); document.write( "t = 23 ea $1000 bills \n" ); document.write( ": \n" ); document.write( "Find f using the 1st equation \n" ); document.write( "23 + f = 96 \n" ); document.write( "f = 96-23 \n" ); document.write( "f = 73 ea $500 bills \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You can check these solutions using the value equation: \n" ); document.write( " |