Application of Systems of Equations

A toy store worker packed two boxes of identical dolls and plush toys for shipping. One box held 3 dolls and 4 plush toys, and the box weighed 27 ounces. Another box held 2 dolls and 3 plush toys and weighed 19 ounces. How much does each doll weigh?

• Each doll weighs 3 ounces.

• Each doll weighs 4 ounces.

• Each doll weighs 5 ounces.

• Each doll weighs 6 ounces.

A student purchased 3 boxes of pencils, x, and 2 boxes of pens, y, for $6. He then purchased 2 boxes of pencils and 4 boxes of pens for $8. Which system of equations below could be used to find the cost of each box of pencils and pens?

• 2x + 2y = 6

  3x + 4y = 8

• 3x + 2y = 6

  2x + 4y = 8

• 3x + 4y = 6

  2x + 2y = 8

• 4x + 2y = 6

  2x + 3y = 8

Two families go to a hockey game. One family purchases two adult tickets and four youth tickets for $33. Another family purchases four adult tickets and five youth tickets for $51.75. What is the cost of an adult ticket and the cost of a youth ticket?

• Adults ticket = $7, Youth tickets = $4.75

• Adult ticket = $6.50, Youth tickets = $5

• Adult ticket = $4.75, Youth ticket = $7

• Adult ticket = $5, Youth ticket = $6.50

On one day Fred's Sports World sold 9 Buffalo Bills jerseys and 3 Miami Dolphins jerseys for a total of $899.40. The next day they sold 12 Bills jerseys and only 2 Dolphins jerseys for a total of $1139.30. How much is the Bills jersey and how much is the Dolphins jersey?

• Bills = $89.95, Dolphins = $29.95

• Bills = $29.95, Dolphins = $89.95

• Bills = $59.95, Dolphins = $39.95

• Bills = $39.95, Dolphins = $59.95

Bob has 60 coins consisting of quarters and dimes. The coins combined values is $13.35. How many of each coin does Bob have?

• 49 quarters, 11 dimes

• 11 quarters, 49 dimes

• 45 quarters, 15 dimes

• 37 quarters, 23 dimes

Jim runs a food cart and during a busy outdoor festival he sold $7343.75 worth of food. He dells hot dogs for $2.95 and steak sandwiches for $9.95. If he sold a total of 985 items that day, how many of each item did he sell?

• 351 hot dogs, 634 steak sandwiches

• 634 hot dogs, 351 steak sandwiches

• 450 hot dogs, 535 steak sandwiches

• 535 hot dogs, 450 steak sandwiches

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

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

An artist sold two sizes of prints at an art fair. The artist charged $20 for small, x, prints and $45 for large, y, prints. Altogether he sold 18 prints for a total of $510. Which system of equations below could be solved to show the number of $20 prints and $45 prints that were sold?

• x - y = 18

  20x - 45y = 510

• x + y = 18

  20x + 45y = 510

• x - y = 510

  20x - 45y = 18

• x + y = 510

  20x + 45y = 18