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marissa [1.9K]
3 years ago
12

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.
Mathematics
1 answer:
Anna007 [38]3 years ago
3 0
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.
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