A ticket booth sold 345 tickets and collected $1967.50 in ticket sales. Adult tickets are $7.50 and child tickets are $3.50. How many tickets of each type were sold?
We let x be the number of adult tickets sold and y be the number of child tickets sold. We write: x + y = 345 and 7.50x + 3.50y = 1967.50. Solving the systems of linear equations, we get: x = 190 and y = 155.
