A theater sold 4 adult tickets and 3 child tickets for 156 dollars they also sold 3 adult tickets and 4 child tickets for 145 dollars. How m

Let A be the price of an adult ticket and C be the price of a child ticket.

 

4A + 3C = 156  (eq. 1)

3A + 4C = 145  (eq. 2)

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7A + 7C = 301

A + C = 43 (eq. 3)

 

Multiply eq. 3 by 4 and subtract from eq. 1.

 

4A + 4C = 172

4A + 3C = 156

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C = 16 ------> A = 43 - 16 = 27.