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
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #354881 by ankor@dixie-net.com(22740)\"\" \"About 
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( "
\n" );