Jeri finds a pile of money with at least $\$200$. If she puts $\$80$ of the pile in her left pocket, gives away $\frac{2}{3}$ 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 $\$200$ 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 as an interval.)
Here's what I've already done,
I made an inequality for the amount of money Jeri has from the pile of money:
d= money in pile
80+1/3(d-80)>d-200
idk really know what to do next...
