Lesson 5-10 Classwork (M)

Adult tickets to a play cost $22. Tickets for children cost $15. Tickets for a group of 11 people cost a total of $228. Which systems of equations below show the number of adult tickets, a, and the number of children tickets, c, that were sold?

• a + c = 228

  22a + 15c = 11

• a + c = 11

  22a + 15c = 228

• a + c = 11

  15a + 22c = 228

• a + c = 228

  15a + 22c = 228

Adult tickets to a play cost $22. Tickets for children cost $15. Tickets for a group of 11 people cost a total of $228. Use the system you chose previously to find the solution using the elimination method. Identify clearly the number of each type of ticket.

A snack bar sells two sizes of snack packs. A large snack pack, x, is $5, and a small snack pack, y, is $3. In one day, the snack bar sold 60 snack packs for a total of $220. Which system of equations below can be used to show the number of $5 snack packs and the number of $3 snack packs that were sold?

• x + y = 60

  5x + 3y = 220

• x + y = 60

  3x + 5y = 220

• 5x + y = 60

  x + 3y = 220

• x + 3y = 60

  5x + y = 220

A snack bar sells two sizes of snack packs. A large snack pack, x, is $5, and a small snack pack, y, is $3. In one day, the snack bar sold 60 snack packs for a total of $220. Based off the system you selected, how many of each pack were sold?

A snack bar sells two sizes of snack packs. A large snack pack, x, is $5, and a small snack pack, y, is $3. In one day, the snack bar sold 60 snack packs for a total of $220. Describe the constraints for this situation.

An investor buys 360 shares of two stocks. The price of one stock, x, is $35 per share, while the price of the other stock, y, is $45 per share. The investor pays a total of $15,000 on the two stocks. Which system of equations below could show how many of each stock the investor purchased?

• x + y = 15,000

  45x + 35y = 360

• x + y = 360

  35x + 45y = 15,000

• 35x + y = 360

  x + 45y = 15,000

• x + 45y = 360

  35x + y = 15,000

An investor buys 360 shares of two stocks. The price of one stock, x, is $35 per share, while the price of the other stock, y, is $45 per share. The investor pays a total of $15,000 on the two stocks. Which answer to the system of equations could show how many of each stock the investor purchased?

• 240 shares of stock x, 120 shares of stock y

• 180 shares of stock x, 180 shares of stock y

• 160 shares of stock x, 200 shares of stock y

• 120 shares of stock x, 240 shares of stock y