SOLUTION: Three people decide to share the cost of a yacht. By bringing in a fourth partner, they can reduce the cost for each person by $4000. What is the total cost of the yacht?

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Question 257217: Three people decide to share the cost of a yacht. By bringing in a fourth partner, they can reduce the cost for each person by $4000. What is the total cost of the yacht?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
The total cost = $48,000
If three people cost $48,000 then the average cost is $16,000
Adding a fourth person, gives us $12,000
The difference is $4,000
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The key here was least common multiple of 3 and 4 = 12. SO I knew the total cost was a multiple of $12,000.