SOLUTION: An adult ticket costs $5. Child's ticket costs $2. A total of 78 tickets were sold for a total of $246. How many adult tickets were sold?

Question 1096903: An adult ticket costs $5. Child's ticket costs $2. A total of 78 tickets were sold for a total of $246. How many adult tickets were sold?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

and

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

An alternative to the standard algebraic solution, using logical analysis....

If all 78 tickets were children's tickets, the total sales would be 78*2 = $156.

The actual sales amount was $246.

The difference between those two amounts is $246=$156 = $90.

Each adult ticket costs $3 more than each children's ticket.

So the number of adult tickets must have been 90/3 = 30.
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