The Lee’s spend $31 on movies tickets for 2 adult and 3 children. The Smith’s spent $26 on movie tickets for 2 adults and 2 children. What are the prices for an adult and child movie ticket?
First we write the variables: x: cost of the ticket for adults. y: cost of ticket for children. We write the system of equations: 2x + 3y = 31 2x + 2y = 26 We solve the system: Step 1: 2x + 3y = 31 -2x-2y = -26 Step 2: y = 5 Step 3: 2x + 3y = 31 2x = -3y + 31 x = (- 3y + 31) / 2 x = (- 3 * (5) +31) / 2 x = 8 Answer: the prices for an adult and child movie ticket are: adults = $ 8 children = 5 $
