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Ms. Katz paid for a used bicycle and then sold it to her neighbor for . She decided to buy it back, but she had to pay for it. If she then sold it again for , how much money did she make or lose overall? Show your solution in enough detail so a teammate could easily understand how you found your answer.

This problem is similar to problems involving distance. It is very helpful to think of every step individually.

When Joel did this problem, he said that Ms. Katz earned , since she bought the bicycle for  and eventually sold it for . Do you agree with Joel? What might he have done wrong?