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A theatre can seat 500 people. For an upcoming production of Our Town, the price of...

A theatre can seat 500 people. For an upcoming production of Our Town, the price of admission for students is $10 per ticket and admission for the general public is $15 per ticket. If the theatre sells out, how many of each type of ticket must be sold if the total box office revenue is to be the following. Define the variables and set up the equations. Use the inverse of a matrix to solve the systems of equations.

(a) $6000?

(b) $65000?

(c) $7000?

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