# SOLUTION: 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

Algebra ->  Algebra  -> Coordinate-system -> SOLUTION: 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      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Coordinate systems, graph plotting, etc Solvers Lessons Answers archive Quiz In Depth

 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?Answer by Paul(988)   (Show Source): You can put this solution on YOUR website!Let paint be x and brushes be y ```6x+2y=113 Solve for y 2y=113-6x y=56.5-3x (subsitution) 8x+3y=152.5 Use subsitution: 8x+3(56.50-3x)=152.5 8x-9x=152.5-169.5 x=17 y=56.5-3(17) y=5.5 Hence, one paint gallon costs \$17 and one brush costs \$5.5 Paul. ```