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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?

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x \ - total \ investment \\ \\ (5)/(9) \ of \ x= (5)/(9)*x= (5x)/(9) - \ Penny's \ investment \\\\ (5x)/(9)=450000 \$ \\ \\ x=(9*450000)/(5) \\ \\ x=9*90000 \\ \\ \boxed{x=810000 \$}
User Scott Gigante
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