Problema Solution

you purchase 8 gal of paint and 3 brushes for 152.50 dollars.the next day you purchase 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


p = the cost of 1 gal of paint


b = the cost of one brush


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


8p + 3b = 152.50


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


6p + 2b = 113


by solving the system of equations:


8p + 3b = 152.50


6p + 2b = 113


we find:


p = $17


b = $5.5


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each gallon of paint costs $17.


each brush costs $5.5.