document.write( "Question 420362: Ivan has some twenty-dollar bills and some fifty-dollar bills. If he has a total of 70 bills and their value is $3200, how many of each bill does he have? \n" ); document.write( "

Algebra.Com's Answer #293755 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Ivan has some twenty-dollar bills and some fifty-dollar bills. If he has a total of 70 bills and their value is $3200, how many of each bill does he have?
\n" ); document.write( "------
\n" ); document.write( "Equations:
\n" ); document.write( "Quantity: t + f = 70 bills
\n" ); document.write( "Value:: 20t+50f = 3200 dollars
\n" ); document.write( "-------------------------------
\n" ); document.write( "Multiply thru 1st by 20
\n" ); document.write( "---------------------------
\n" ); document.write( "20t + 20f = 20*70 bills
\n" ); document.write( "20t + 50f = 3200 dollars
\n" ); document.write( "----------------------
\n" ); document.write( "Subtract and solve for \"f\":
\n" ); document.write( "30f = 1800
\n" ); document.write( "---
\n" ); document.write( "f = 60 (# of fifty-dollar bills
\n" ); document.write( "---
\n" ); document.write( "solve for \"t\":
\n" ); document.write( "t = 70-60 = 10 (# of twenty-dollar bills)
\n" ); document.write( "=========================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "

\n" );