document.write( "Question 855910: Bob purchased 8 gallons of paint and 3 brushes for $152.50. The next day he purchased 6 gallons of paint and 2 brushes for $113.00 how much does each gallon of paint and each brush cost? \n" ); document.write( "

Algebra.Com's Answer #515658 by mananth(16946) $\"\"$ $\"About$

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x= cost per gallon
\n" ); document.write( "y= cost per brush
\n" ); document.write( "
\n" ); document.write( "8.00 x + 3.00 y = 152.50 .............1
\n" ); document.write( "Total value
\n" ); document.write( "6.00 x + 2.00 y = 113.00 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -2.00
\n" ); document.write( "Multiply (2) by 3.00
\n" ); document.write( "-16.00 x -6.00 y = -305.00
\n" ); document.write( "18.00 x + 6.00 y = 339.00
\n" ); document.write( "Add the two equations
\n" ); document.write( "2.00 x = 34.00
\n" ); document.write( "/ 2.00
\n" ); document.write( "x = 17.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "8.00 x + 3.00 y = 152.50
\n" ); document.write( "136.00 + 3.00 y = 152.50
\n" ); document.write( " 3.00 y = 152.50 -136.00
\n" ); document.write( " 3.00 y = 16.50
\n" ); document.write( " y = 5.50
\n" ); document.write( "x= 17.00 cost per gallon
\n" ); document.write( "y= 5.50 cost per brush
\n" ); document.write( "m.ananth@hotmail.ca
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