document.write( "Question 562079: A restaurant manager bought 20 packages
\n" ); document.write( "of bagels. Some packages contained 6 bagels
\n" ); document.write( "each, and the rest contained 12 bagels each.
\n" ); document.write( "There were 168 bagels in all. How many
\n" ); document.write( "packages of 12 bagels did the manager buy? \n" ); document.write( "

Algebra.Com's Answer #364436 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
6 bagel packages ------- x numbers
\n" ); document.write( "12 bagel packages ----------y numbers\r
\n" ); document.write( "\n" ); document.write( "x+y =20
\n" ); document.write( "6x+12y=168\r
\n" ); document.write( "\n" ); document.write( "x + y = 20 .............1
\n" ); document.write( "6x + 12y = 168 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -12
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-12x -12y = -240
\n" ); document.write( "6x 12y = 168
\n" ); document.write( "Add the two equations
\n" ); document.write( "-6 x = -72
\n" ); document.write( "/ -6
\n" ); document.write( "x = 12.00 OR 12
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 20
\n" ); document.write( "12 + 1 y = 20
\n" ); document.write( " 1 y = 20-12
\n" ); document.write( " 1 y = 8
\n" ); document.write( "
\n" ); document.write( "6 pack 12 numbers
\n" ); document.write( "12 pack 8 umbers
\n" ); document.write( "m.ananth@hotmail.ca \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );