SOLUTION: The attendance at a moving picture theater on a certain day was 737 persons. If there were 289 more adults than children, how children were there?

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Question 520018: The attendance at a moving picture theater on a certain day was 737 persons. If there were 289 more adults than children, how children were there?
Answer by Maths68(1474) About Me  (Show Source):
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Let
Number of Children = x
Number of Adults = x + 289
Adults + Children = 737
(x+289)+x=737
x+289+x=737
2x=737-289
2x=448
2x/2=448/2
x=224


Number of Children = x = 224
Number of Adults = x + 289 = 224+289=513

Check
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Total Attendance = Adults + Children
737 = 513+224
737=737