The theatre charges $9 for each adult ticket and $6 for each child ticket. the theatre sold 144 tickets for the first showing of the new release. the total money collected from ticket sales for that show was $1164. write a system of equations that could be used to find the number of child tickets and the number of adult tickets sold, and solve the system algebraically.

Question

Mathematics

Elsa Harding

6 October, 06:26

The theatre charges $9 for each adult ticket and $6 for each child ticket. the theatre sold 144 tickets for the first showing of the new release. the total money collected from ticket sales for that show was $1164. write a system of equations that could be used to find the number of child tickets and the number of adult tickets sold, and solve the system algebraically.

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Answers (1)

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Kristin Kline · Answer 1

X=number of adult tickets

y=number of child tickets

I suggest this system of equations:

x+y=144

9x+6y=1164

we can solve this system of equations by substitution method.

x=144-y

9 (144-y) + 6y=1164

1296-9y+6y=1164

-3y=1164-1296

-3y=-132

y=-132/-3=44

x=144-y

x=144-44=100

Answer: the theatre sold 100 adult tickets and 44 child tickets.