System of Equations Real World Problems

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x
  y = 8.40 + x

• y = 9.65x + 43
  y = 8.40x + 58

• y =9.65x
  y = 8.40x

• y = 9.65x - 43
  y = 8.40x - 58

Copland competes in 27 swimming events this season. He wins either first place or second place in each event. Copland has 3 more first-place wins than second-place wins. Which system of equations represents this story?

There are 47 people attending a play at an outdoor theater. There are 11 groups of people sitting in groups of 3 or 5. Which system of equations best represents this story?

The two tables show Calvin and Elaina's earnings per hour. When do they both earn the same amount?

• After 10 hours of work they both earn $250.

• Elaina always earns more.

• Calvin always earns more.

• After 5 hours of work they both earn $125.

A solution to a system tells us when...

• x and y are the SAME for both equations

• x is GREATER than y on one equation

• y is GREATER than x on one equation

• x and y START on the graph

Is this system ready for elimination?

• Yes, the x variables will eliminate.

• Yes, the y variables will eliminate.

• No, you need a multiplier.

• Not enough information.

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)

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

• Sugar Cookies $5 
  Oatmeal Cookies $3

• Sugar Cookies $4
  Oatmeal Cookies $8

• Sugar Cookies $2
  Oatmeal Cookies $6

• Sugar Cookies $3
  Oatmeal Cookies $6

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

• Van 43
  Bus 14

• Van 11
  Bus 21

• Van 14
  Bus 43

• Van 17
  Bus 45

A local fish market is selling fish and lobsters by the pound. The fish costs $5.25 a pound, while the lobster costs $10.50 a pound. The fish market sells 28.5 pounds and makes $215.25?

• The market sold 16 pounds of fish and 12.5 pounds of lobster.

• The market sold 18 pounds of fish and 10.5 pounds of lobster.

• The market sold 12.5 pounds of fish and 16 pounds of lobster.

• The market sold 10.5 pounds of fish and 18 pounds of lobster.