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. Three-fourths as many teenagers as children attended. How many adults attended?

Let the number of children be C. Then teenagers number 0.75C, and adults number 570 − 1.75C. Using the ticket prices, the receipts equation is 2C + 3(0.75C) + 5(570 − 1.75C) = 1950. Solving gives C = 200, so adults number 570 − 1.75(200) = 220. The correct choice is 220 adults.

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