document.write( "Question 30386: You purchase 8 gallons of paint and 3 brushes for $152.50.The next day, you purchase 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 #17038 by Paul(988) $\"\"$ $\"About$

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Let paint be x and brushes be y
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6x+2y=113
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document.write( "Solve for y
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document.write( "2y=113-6x
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document.write( "y=56.5-3x (subsitution)\r
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document.write( "8x+3y=152.5
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document.write( "Use subsitution:
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document.write( "8x+3(56.50-3x)=152.5
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document.write( "8x-9x=152.5-169.5
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document.write( "x=17\r
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document.write( "y=56.5-3(17)
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document.write( "y=5.5\r
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document.write( "Hence, one paint gallon costs $17 and one brush costs $5.5
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document.write( "Paul. \n" );
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