Problema Solution

You purchase 8 gallons of paints and 3 paint brushes for $152.50. The next day you

Purchase 6 gallons of paint and 2 paint 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 gallon of paint

b = the cost of a brush


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


8p + 3b = 152.50


The next day you purchase 6 gallons of paint and 2 paint brushes for $113.00


6p + 2b = 113.00


by solving the system of equations


8p + 3b = 152.50

6p + 2b = 113.00


we find


p = $17


b = $5.5


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a gallon of paint is $17.

each brush costs $5.5.