A 1400-seat theater sells two types of tickets for a concert, Premium seats sell for $40 each and regular seats sell for $30 each. At one event $47,540 was collected in ticket sales with 20 seats left unsold. How many of each type of ticket was sold?

With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.