The number of children that attended the concert is 317
How to determine the number of children?
Let x represents adults and y represents children.
So, we have the following equations:
Total number of people; x + y = 489
Total earnings; 25x + 11y = 7787.00
Make x the subject in the first equation
x = 489 - y
Substitute x = 489 - y in the second equation
25(489 - y) + 11y = 7787.00
Expand
12225 - 25y + 11y = 7787.00
Evaluate the like terms
-14y = -4438
Divide both sides by -14
y = 317
Hence, the number of children that attended the concert is 317
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