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A football problem

At a football championship 600 tickets were sold .
Child ticket cost $2 each and adult ticket cost $5 each. The total money collected for the game was $1650.

Find the number of tickets sold in each category.
Let x be number of children and y be number of adults.
x+y = 600
2x+5y= 1650
==>x= 450, y=150


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