A theatre contains 429 seats and the ticket prices for a recent play were ​\$50 for adults and ​\$23
for children. If the proceeds were ​\$14,565 for a​ sold-out show, how many of each ticket were​ sold?
asked Dec 18, 2016

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answered Dec 18, 2016 by Level 10 User (55,380 points)
Let x be the no. of seats occupied by the adults, meaning that the no. of seats occupied by children will be (429-x); Thus, we have; 50x+(429-x)23=14565 50x+9867-23x=14565; collecting like terms together, we obtain; 27x=4698 => x=174 i.e no. of tickets by adults (no. seats occupied) for children will be (429-x)=> 429-174=255 tickets (equivalent to no. of seats occupied by children) adults 174tickets children 255tckets
answered Dec 20, 2016 by Level 2 User (1,980 points)

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