SOLUTION: You purchase 8 gal of paint and 3 brushes for $152.50. The next day, you purchase 6 gal of paint and 2 brushes for $113.00. How much does each gallon of paint and each brush cost?
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Question 250848: You purchase 8 gal of paint and 3 brushes for $152.50. The next day, you purchase 6 gal of paint and 2 brushes for $113.00. How much does each gallon of paint and each brush cost? Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! We need to set up 2 equations with two unknowns. Let P = paint and B = brushes.
(i)
(ii)
Now, we have to eliminate a variable. I think multiply (i) by 2 and (ii) by -3 will be easier to do. we get
(iii)
(iv)
Add down to eliminate the B. we get
Now sub this answer back into (i) to get B, which is B = 5.50.
each gallon of paint is $17, and each paint brush is $5.50.
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