Hussein

Hussein owns 450000 crowns (local currency). He spent 2 over 9 at the bookstore to buy some books and tales. He paid 3 over 5 of his money to buy his math book.
a. Calculate the remaining amount of money with Hussein.
b. Hussein lost 3 over 4 of the remaining money. Calculate the amount of money lost.

Correct answer:

a =  80000
b =  60000

Step-by-step explanation:

$$\begin{gathered} x=450000 \\ a=x-\frac{2}{9}\cdot x-\frac{3}{5}\cdot x=450000-\frac{2}{9}\cdot 450000-\frac{3}{5}\cdot 450000=80000 \end{gathered}$$

$b=\frac{3}{4}\cdot a=\frac{3}{4}\cdot 80000=\frac{3\cdot 80000}{4}=\frac{240000}{4}=60000$

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