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Algebra Level 3

Jesse drives a lot from Chicago to New York for a business trip. On his way, he usually spends a night at one of 4 motels--A, B, C, D in order of appearance--in Youngstown, Ohio. Once he passes a motel, he never goes back. From his long experience, he knows that their rates per night are all distinct and evenly apart ($10) when arranged in ascending order.

One day, Jesse passes motel A whose rate is $80 and then arrives at motel B whose rate is $70. To spend as little money as possible for the night, should Jesse stay at B, or move on for C or D, or does it cost the same either way on average?

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