Question

Fernando bought a jacket for $185 and sold it for 1 1/2 times what he paid. Marisol spent 1/5 as much as Fernando on the same jacket but sold it for 1/2 as much as Fernando did. How much money did Marisol make? Explain your thinking using a diagram

Answer 1

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:

$\text{Selling price of Fernando's jacket}=\ 185\times 1\frac{1}{2}$

$\text{Selling price of Fernando's jacket}=\ 185\times \frac{3}{2}$

$\text{Selling price of Fernando's jacket}=\ 277.5$

We have been given that Marisol spent 1/5 as much as Fernando on the same jacket.

$\text{Cost of Marisol's jacket}=\ 185\times \frac{1}{5}$

$\text{Cost of Marisol's jacket}=\ 37$

We are also told that Marisol sold the jacket for 1/2 as much as Fernando did.

$\text{Selling price of Marisol's jacket}=\frac{\ 277.5}{2}$

$\text{Selling price of Marisol's jacket}=\ 138.75$

The amount of money earned by Marisol would be selling price of jacket minus cost.

$\text{Amount of money earned by Marisol}=\ 138.75-\ 37$

$\text{Amount of money earned by Marisol}=\ 101.75$

Therefore, Marisol made $101.75.