document.write( "Question 519244: Two-hundred items were sold at a snack stand for a total of $130.00. The only items sold were cans of pop for $0.50 and bags of popcorn for $0.75.
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\n" ); document.write( "How many of each item were sold? \n" ); document.write( "

Algebra.Com's Answer #345467 by mananth(16946) $\"\"$ $\"About$

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cans of pop for $0.50 ------------x items
\n" ); document.write( "bags of popcorn for $0.75.---------y items\r
\n" ); document.write( "\n" ); document.write( "x+y=200...................1\r
\n" ); document.write( "\n" ); document.write( "0.5x+0.75y=130
\n" ); document.write( "multiply 100
\n" ); document.write( "50x+75y=13000.............2\r
\n" ); document.write( "\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -75
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-75 x -75 y = -15000
\n" ); document.write( "50 x 75 y = 13000
\n" ); document.write( "Add the two equations
\n" ); document.write( "-25 x = -2000
\n" ); document.write( "/ -25
\n" ); document.write( "x = 80
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 200
\n" ); document.write( "80 + 1 y = 200
\n" ); document.write( " 1 y = 200 -80
\n" ); document.write( " 1 y = 120
\n" ); document.write( " y = 120\r
\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca\r
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