Solving Systems of Equations with Word Problems

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.

• x + y = 21
  6x + 4y = 104
• x + y = 104
  6x + 4y = 21
• x + y = 21
  6y + 4x = 104
• x + y = 104
  6x + 4y = 21

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. Solve the system:
x + y = 21
6x + 4y = 104

• (10, 11)
• (12, 9)
• (11, 10)
• (9, 12)

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. Which system of equations represents this situation? *

• 1.5x + 0.5y = 78.5
  x + y = 87
• 1.5x + 0.5y = 78.5
  1.5x + 0.5y = 87
• x + y = 78.5
  1.5x + 0.5y = 87
• x + y = 78.5
  x + y = 87

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. Which system of equations represents this situation?

• (35, 52)
• (18, 69)
• ( 52, 35) 
• (61, 26)

In a pasture, there are horses and chickens. If there are a total of 28 animals and 80 legs, how many chickens and horses are there?

• 10 horses, 18 chickens
• 16 horses, 12 chickens
• 12 horses, 16 chickens
• 18 horses, 10 chickens

What is the solution to this system of linear equations? 
Use substitution.

y = -2x - 6
-2x + y = 6

• (0, -3)
• (-3, -12)
• (-3, 0)
• (3, -12)

What is the value of x in the solutiont o this system of linear equations?
Use substitution.

y = -3x + 3
- 2x + 2y  = 6

• 0
• No solution
• 4
• - 4

What is the solution to this system of linear equations?  
Use substitution.

 y = 4x + 6
5x + y  = -21

• (27, 108)
• (-3, -6)
• (3, 18)
• (-3, 6)

What is the solution to this system of linear equations?
Use elimination.

2x + y = 17
   x + y = 10

• (7, 5)
• (9, -1)
• (-1, 9)
• (7, 3)

What is the solution to this system of linear equations?
Use elimination.

       3x + y = -14
-2x - y = 9

• (-5, 1)
• (-1, -11)
• (5, -29)
• (13, 55)