Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total ticket receipts were $1950. Compared to the number of children in attendance, three-fourths as many teenagers attended. How many teenagers attended?

Let T be the number of teenagers. Since teenagers were three-fourths as numerous as children, the number of children was 4T/3. The number of adults was therefore 570 − T − 4T/3 = 570 − 7T/3. Using the ticket prices, the total is 2(4T/3) + 3T + 5(570 − 7T/3) = 1950, which simplifies to 2850 − 6T = 1950. Thus T = 150, so the correct choice is 150 (choice b).

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