We have been given that Fernando bought a jacket for $185 and sold it for 1 1/2 times what he paid.
Let us find selling price of jacket as:
[tex]\text{Selling price of Fernando's jacket}=\$185\times 1\frac{1}{2}[/tex]
[tex]\text{Selling price of Fernando's jacket}=\$185\times \frac{3}{2}[/tex]
[tex]\text{Selling price of Fernando's jacket}=\$277.5[/tex]
We have been given that Marisol spent 1/5 as much as Fernando on the same jacket.
[tex]\text{Cost of Marisol's jacket}=\$185\times \frac{1}{5}[/tex]
[tex]\text{Cost of Marisol's jacket}=\$37[/tex]
We are also told that Marisol sold the jacket for 1/2 as much as Fernando did.
[tex]\text{Selling price of Marisol's jacket}=\frac{\$277.5}{2}[/tex]
[tex]\text{Selling price of Marisol's jacket}=\$138.75[/tex]
The amount of money earned by Marisol would be selling price of jacket minus cost.
[tex]\text{Amount of money earned by Marisol}=\$138.75-\$37[/tex]
[tex]\text{Amount of money earned by Marisol}=\$101.75[/tex]
Therefore, Marisol made $101.75.