Setting Up Related Equations

Rachel buys 3 tricycles and 4 bicycles for a total of $72. Joe bought 5 tricycles and 2 bicycles for $50.  Which system models this scenario?

• 3B + 4T = 72
  2T + 5B = 50
• 3T + 4B = 72
  5T + 2B = 50
• 3T + 4B = 50
  5T + 2B = 72

Ralph makes $14 per hour plus a $20 stipend.  Melissa makes $12 per hour plus a $15 stipend.  Which system models this scenario?

• y = 14x + 15
  y = 12x + 20
• y = 20x + 14
  y = 15x + 12
• y = 14x + 20
  y = 12x + 15

Jon has a total of 25 quarters and dimes.  The amount of money he has is $5.65.  Which system models this scenario?

• Q + D = 25
  .25Q + .10D = 5.65
• Q + D = 5.65
  .25Q + .10D = 25
• .25Q + .10D = 25
  Q + D = 5.65

Sam has a total of 15 bikes and skateboards.  A bike has 2 wheels and a skateboard has 4 wheels, and she has a total of 40 wheels.  Which system models this scenario?

• B + S = 40
  2B + 4S = 15
• B + S = 15
  2B + 4S = 40
• B + S = 15
  4B + 2S = 40

Ben ordered 20 total items consisting of pizza and sodas.  A pizza is $10, a soda is $2, and he spent a total of $72.  Which system models this scenario?

• 10P + 2S = 20
  P + S = 72
• P + S = 20
  2P + 10S = 72
• P + S = 20
  10P + 2S = 72

Uncle Freddy rented a total of 12 movies and games.  A movie rents for $3 and a game rents for $4.50, for a total of $42.  Which system models this scenario?

• 3M + 4.50G = 42
  M + G = 12
• 3M + 4.50G = 12
  M + G = 42
• M + G = 12
  4.50M + 3G = 42

A farmer grows corn and lettuce.  He plans to plant 455 rows this year.  The number of rows of corn will be 2.5 times the number of rows of lettuce.  Which system models this scenario?

• L = 2.5C
  C + L = 455
• C + L = 2.5L
  C + L = 455
• C + L = 455
  C = 2.5L

A 100 point test consists of 2 point questions and 5 point questions.  There were 44 total questions on the test.  Which system models this scenario?

• 2X + 5Y = 100
  X + Y = 44
• X + Y = 100
  2X + 5Y = 44
• 2X + 5Y = 100
  X + Y = 100
• X + Y = 44
  2X + 5Y = 44

Maggie bought 2 shirts and 2 sweaters and spent $86.  Mia bought 3 shirts and 1 sweater and spent $81.  Which system models this scenario?

• 2X + 2Y = 81
  3X + Y = 86
• 2X + 2Y = 86
  3X + Y = 81
• X + Y = 86
  X + Y = 81
• 2X + 2Y = 167
  3X + Y = 167

The sum of two numbers is 12.  The product of those two numbers is -64.  Which system models this scenario?

• X ( Y ) = -64
  X + Y = 12
• X + Y = -64
  X ( Y ) = 12
• X + Y = 12
  X + Y = -64
• X ( Y ) = 12
  X ( Y ) = -64