The cost for 3 adults and 2 children was $7200 was is the cost for each child?

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Insufficient information. Cost for each child=(7200-3*adult)/2=3600-3*adult/2.
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no unique answer is possible but we can relate the child cost to the adult cost if x=adult cost and y=child cost, then 3x+2y=7200, so y=3600-3x/2.

This can be graphed:

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