Penny owns 5/9 of a movie theatre. Penny's investment is worth $450000. What is the total investment that was made for the movie theatre?



Answer :

[tex]x \ - total \ investment \\ \\ \frac{5}{9} \ of \ x= \frac{5}{9}*x= \frac{5x}{9} - \ Penny's \ investment \\\\ \frac{5x}{9}=450000 \$ \\ \\ x=\frac{9*450000}{5} \\ \\ x=9*90000 \\ \\ \boxed{x=810000 \$}[/tex]