Jeri finds a pile of money with at least $200. If she puts $80 of the pile in her left pocket, gives away \(1/5\) 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 \(1/5\) 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.)
+9519 We need to list all the inequalities and solve the system of inequalities.
Let $x be the amount of the original pile of money.
Then \(\begin{cases}x \geq 200\\80 + \dfrac{4(x - 80)}5 > \dfrac{4x}5\end{cases}\).
Now it is your turn to solve each inequality and find the range of values of x so that both inequalities are satisfied.
