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* 1(1)/(2)`

`\text{Selling price of Fernando's jacket}=\$185* (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* (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}=(\$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.