Writing Systems of Equations

Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.

• c + s = 6
  14c + 17s = 99
• c + s = 99
  14c + 17s = 6
• c + s = 6
  17c + 14s = 99
• c + s = 99
  17c + 14s = 6

Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and Large cups for $2.50. If Ashley sold a total of 155 cups for $265, which system could be used to determine the number of small (x) and large (y) cups she sold? 

• x + y = 265 
  1.25x+2.5y=155 
• x + y = 155
  2.5x+1.25y=265
• x + y = 265
  2.5x+1.25y=155
• x + y = 155
  1.25x+2.5y=265

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740
• S + A = 530
  4S + 3A = 1740
• S + A = 1740
  3S + 4A = 530
• S + A = 1740
  4S + 3A = 530

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?

• x + y = 1430

  20x + 50y = 49

• x + y = 49

  10x + 5y = 1430

• x + y = 49

  20x + 50y = 1430

• x + y = 49

  x + y = 1430

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. How many Sodas did David Sell?

• 35

• 52

• 87

• 41

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out (all) the coins and it came to $6.60. How many dimes did Dennis collect?

• 52

• 28

• 80

• 40

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

• a + c = 21
  6a + 4c = 104
• a + c = 104
  6a + 4c = 21
• a + c = 21
  6c + 4a = 104
• a + c = 104
  6c + 4a = 21

A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85. Which how many quarters does the bag consist of?

• 7

• 18

• 11

• 4

• 9