Teri finds a pile of money with at least $600. If she puts $200 of the pile in her left pocket, gives away 4/5 of the rest of the pile, and then puts the rest in her right pocket, she'll have more money than if she instead gave away $600 of the original pile and kept the rest. What are the possible values of the number of dollars in the original pile of money? (Give your answer in interval notation.)

Question

Teri finds a pile of money with at least $600. If she puts $200 of the pile in her left pocket, gives away  4/5 of the rest of the pile, and then puts the rest in her right pocket, she'll have more money than if she instead gave away $600 of the original pile and kept the rest. What are the possible values of the number of dollars in the original pile of money? (Give your answer in interval notation.)

AoPSSheriff · Answer

Jason, what's your AoPS username? You'll be receiving a 3-day ban for attempting to cheat on your Algebra Homework.

David · Answer

You don't get 3-day bans on AoPS. I think you get a warning or your parents get an email. Plus, his name is probably not Jason.