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Question 824502: Solve the problem.
The Family Arts Center charges $22 for adults, $17 for senior citizens, and $10 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $11,820 for 740 tickets sold. There were 46 more children than adults. How many children attended?
Answers:
A) 265 children
B) 219 children
C) 255 children
D) 256 children
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
x = kids
y = seniors
z = adults
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x + y + z = 740
10x + 17y + 22z = 11820
x = z + 46
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put the system of linear equations into standard form
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x + y + z = 740
10x + 17y + 22z = 11820
x - z = 46
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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answer:
x = kids = 265
y = seniors = 256
z = adults= 219
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