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?
Define a variable ** Let X be the number of adults attending the concert. The number of children attending the concert is 3*X.
Write an equation ** The theater collected a total of 7*X + 3*(3*X) = $6,000.
Simplify ** Multiplying through the parentheses we get 7X + 9X = $6,000
Simplify ** Adding like terms we get 16X = $6,000
Divide by 16 ** Dividing both sides by 16 we get X = 375, the number of adults attending the concert
How many children are there? ** The number of children attending the concert is triple this number: 375 adults * 3 children/adult = <<375*3=1125>>1125 children.
How many people are there? ** The number of people attending the concert is 375 + 1125 = <<375+1125=1500>>1500 people.
#### 1500