Mike, Mark, and Melvin painted a fence. Mike painted the first 1/3 of the fence. Mark painted 3/5 of what remained. Melvin painted the final 40ft. How long is the fence?
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Expert's answer
2010-07-08T04:41:54-0400
Let the length of the fence is x, so Mike painted (x/3), Mark painted ((x-x/3)*3/5) and Melvin painted 40. We can write the equation:
(х/3)+((х-(х/3))*3/5)+40 = х (х/3)+(2х/5)+40 = х х-(х/3)-(2х/5) = 40 4х/15 = 40 х = 150
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