Question 1204764
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The formal algebraic solutions provided by the other tutors are fine.<br>
But you can get good mental exercise, and good problem-solving practice, by solving the problem using logical reasoning and simple mental arithmetic.<br>
If all 200 tickets were children's tickets, the total cost would be 200($5) = $1000.
The actual total cost was $1420-$1000 = $420 more than that.
Each adult ticket costs $4 more than each children's ticket.
The number of adult tickets sold was $420/$4 = 105.<br>
ANSWER: 105 adult tickets and 200-105 = 95 children's tickets.<br>