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?

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.

RELATED QUESTIONS
Solve using substitution. You purchase 8 gal of paint and 3 brushes for $152.50. The (answered by mananth)

You purchase 8 gal of paint and 3 brushes for $152.50. The next day, you purchase 6 gal... (answered by erica65404)

1)You purchase 8 gal of paint and 3 brushes for $152.50. The next day, you purchase 6 gal (answered by macston)

You purchase 8 gallons of paint and 3 brushes for $152.50.The next day, you purchase 6... (answered by Paul)

Bob purchased 8 gallons of paint and 3 brushes for $152.50. The next day he purchased 6... (answered by mananth)

An art store sells brushes for $1.80 each and tubes of paint for $2.20 each. Sandra... (answered by Mathtut)

Peyton has 6 times as many pencils as paint brushes. He has a total of 63 pencils and... (answered by drk)

Kara spent 16.00 on tubes of pain and brushes for art class. Each tube of paint cost... (answered by ankor@dixie-net.com)

You and three friends earn money by painting houses. You agree to split the profits... (answered by addingup)