document.write( "Question 517397: A beer-bottling company ordered 2100 more 12-ounce bottles than 1-quart bottles. The cost of the 12-ounce bottles was $.08 each, and the cost of the 1-quart bottles was $.11 each. The total cost was $310.50 not including shipping. Find the number of each type of bottle ordered. \n" ); document.write( "

Algebra.Com's Answer #344760 by mananth(16946) $\"\"$ $\"About$

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12 ounce bottles -------x
\n" ); document.write( "1 quart bottle-----------y\r
\n" ); document.write( "\n" ); document.write( "x-y=2100.............1
\n" ); document.write( "0.08x+0.11y=310.50\r
\n" ); document.write( "\n" ); document.write( "multiply by 100
\n" ); document.write( "8x+11y=31050.........2\r
\n" ); document.write( "\n" ); document.write( "1 x -1 y = 2100 .............1
\n" ); document.write( "8 x + 11 y = 31050 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 11
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "11 x -11 y = 23100
\n" ); document.write( "8 x 11 y = 31050
\n" ); document.write( "Add the two equations
\n" ); document.write( "19 x = 54150
\n" ); document.write( "/ 19
\n" ); document.write( "x = 2850
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + -1 y = 2100
\n" ); document.write( "2850 + -1 y = 2100
\n" ); document.write( " -1 y = 2100 -2850
\n" ); document.write( " -1 y = -750
\n" ); document.write( " y = 750 \n" ); document.write( "

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