Problema Solution

You purchase 8 gallons of paint and 3 brushes for $152.50. The next day, you purchase 6 gallons of paint and2 brushes for $113.00. How much does each gallon of paint and each brush cost?

Answer provided by our tutors

let


p = the cost of each gallon of paint


b = the cost of each brush


You purchase 8 gallons of paint and 3 brushes for $152.50:


8p + 3b = 152.50


The next day, you purchase 6 gallons of paint and2 brushes for $113.00:


6p + 2b = 113


by solving the system of equations:


8p + 3b = 152.50


6p + 2b = 113


we find:


p = $5.5


b = $17


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each gallon of paint costs $5.5.


each brush costs $17.