Question: Ticket sales. Tickets for a concert were sold to adults for $3 and to students for $2.

If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold?

Hint: Let x=the number of adult tickets sold and y = the number of student tickets sold. Since there were twice as many adult tickets sold, we can say that x = 2y. The other equation expresses the fact that the total receipts were $824, or 3x + 2y = 824.

Use the Substitution Principle to solve for x and y.