Problema Solution

you purchase 8 gal of paint and 3 brushes for 152.50 dollars.the next day you purchas e 6 gal of paint and two brushes for 113 dollars.how much does each gallon of paint and each brush cost?

Answer provided by our tutors

let


b = the cost of one brush


g = the cost of one gallon of paint


you purchase 8 gal of paint and 3 brushes for 152.50 dollars:


8g + 3b = 152.50


the next day you purchas e 6 gal of paint and two brushes for 113 dollars:


6g + 2b = 113


by solving the system of equations:


8g + 3b = 152.50


6g + 2b = 113


we find:


g = $17


b = $5.5


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the cost of one gallon of paint is $17.


the cost of one brush is $5.5.