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 ->  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


   

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) About Me  (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.