Three times as many children as adults attend a concert on Saturday. An adult ticket costs $7 and a child's ticket costs $3. The theater collected a total of $6,000. How many people bought tickets? Let's be accurate as possible.
Let X be the number of adults attending the concert. The number of children attending the concert is 3 * X. The theater collected a total of 7 * X + 3 * (3 * X) = $6,000. Multiplying through the parentheses we get 7X + 9X = $6,000. Adding like terms we get 16X = $6,000. Dividing both sides by 16 we get X = 375, the number of adults attending the concert. The number of children attending the concert is triple this number: 375 adults * 3 children / adult = 1125 children. The number of people attending the concert is 375 + 1125 = 1500 people.
The answer: 1500.