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?

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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) About Me  (Show Source):
Answer by greenestamps(13200) About Me  (Show Source):
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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.