You will have a system of equations. Let's say that the number of adult tickets sold is x. The number of child ticket sold is y. We know that they sold 400 tickets, so: x + y = 400 We also know that they earned $1475 An adult ticket is $5 and a child ticket is $2, so: x * 5 + y * 2 = 1475 Because x + y = 400, we know that y = 400 - x. We use this in the main equation instead of the variable y: x * 5 + (400-x) * 2 = 1475 5x + 800 - 2x = 1475 3x + 800 = 1475 3x = 675 x = 225
Because x + y = 400, we can calculate that y = 175
They sold 225 adult tickets and 175 child tickets.
