Algebraic Word Problem for the SAT

Here is a hard SAT Heart of Algebra problem for you to try. A solution will be posted soon.

Level 5 Heart of Algebra

An ornithologist is in charge of a 400-acre bird sanctuary with only two types of birds: egrets and flamingos. There are currently 150 egrets and 200 flamingos living within the sanctuary. If 75 more egrets are introduced into the sanctuary, how many more flamingos must be introduced so that 5/6 of the total number of birds in the sanctuary are flamingos?

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