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Adult tickets for a play cost $19 and child tickets cost $10. If there were 35 people at a performance and the theatre collected $476 from ticket sales, how many adults attended the play

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Two equations, two unknowns.
A = adult tickets sold
C = child tickets sold

A + C = 35
19A + 10 C = 476

Solve

10A + 10C = 350
9A = 126
A = ?

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