For her birthday, DW receives a gift of $$100$ from her grandmother. DW$$s cousins, who are passionate about investing,

immediately offer to invest her birthday money.

$$ Cousin Mo promises to make a return of $50\%$ on DW$$s investment.

$$ Cousin Ricky promises to make a return of $75\%$ on DW$$s investment.

$$ Cousin George promises to double DW$$s investment.

At first, DW is hesitant to take up her cousin$$s offers. But her curiosity gets the best of her: she decides to distribute

half of her birthday money between the three cousins $($not necessarily evenly$).$ One week later, the cousins fulfill their

promises and return the investment. DW is happy to find that her investment has increased by $70\%!$

What is the most amount of money that DW could have invested with Cousin Mo$?$ What is the least amount of

money that DW could have invested with Cousin Mo$?$