document.write( "Question 749042: An office manager ordered 60 stamps for a total of $21.70. There were only 42-cent and 17-cent stamps in order? \n" ); document.write( "

Algebra.Com's Answer #455748 by Cromlix(4381) $\"\"$ $\"About$

You can put this solution on YOUR website!
x = 42 cent stamp
\n" ); document.write( "y = 17 cent stamp\r
\n" ); document.write( "\n" ); document.write( "x + y = 60....1
\n" ); document.write( "42x + 17y = 2170..2
\n" ); document.write( "
\n" ); document.write( "Multiply (1) by 42
\n" ); document.write( "
\n" ); document.write( "42x + 42y = 2520...1
\n" ); document.write( "42x + 17y = 2170...2
\n" ); document.write( "Subtract (2) from (1)\r
\n" ); document.write( "\n" ); document.write( " 25y = 350
\n" ); document.write( " y = 350/25 = 14\r
\n" ); document.write( "\n" ); document.write( "Substitute y = 14 into
\n" ); document.write( "x + y = 60
\n" ); document.write( "x + 14 = 60
\n" ); document.write( " x = 60 - 14
\n" ); document.write( " x = 46
\n" ); document.write( "Therefore there are:
\n" ); document.write( " 46 x 42 cent stamps and
\n" ); document.write( " 14 x 17 cent stamps \n" ); document.write( "

\n" );