SOLUTION: aron, Brenda, Charlie, and Danita are house painters. The team of Aaron, Brenda, and Charlie can paint my house in 3 days; if Aaron and Danita work as a pair it takes 6 days; the p

Question 722406: aron, Brenda, Charlie, and Danita are house painters. The team of Aaron, Brenda, and Charlie can paint my house in 3 days; if Aaron and Danita work as a pair it takes 6 days; the pair of Charlie and Danita takes 8 days, and the team of Brenda, Charlie, and Danit can finish in 5 days. How long would it take the whole 4-person crew to paint my house?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Aaron's rate of painting in houses/day
Let = Brenda's rate of painting in houses/day
Let = Charlie's rate of painting in houses/day
Let = Danita's rate of painting in houses/day
----------------------------------------------
Add rates to get the rate working together
(1)
(2)
(3)
(4)
---------------------------
This is 4 equations and 4 unknowns, so it should be solvable
Subtract (4) from (1)
(1)
(4)
(4)
(4)
--------------------
Add this result to (2)
(2)
(4)

---------------
and, since
(2)
(2)
(2)
(2)
(2)
You can finish- have to go

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