Solve System of Equations Real World

Nancy went to the grocery story. On Monday she purchased 12 oranges and 7 apples for a total of $5.36. On Wednesday she purchased 8 oranges and 5 apples for a total of $3.68. If x represents oranges and y represents apples, what did each orange and apple cost?

• x = $0.32

  y = $0 52

• x = $0.32

  y = $0.26

• x = $0.26

  y = $0.32

• x = $0.52

  y = $0.32

Last season two running backs on the War Eagles football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

• x + y = 1550

  y = 4x

• x + y = 1550

  y = x + 4

• y - x = 1550

  y = 4x

• y = 1550 + x

  y = x + 4

Some students want to order shirts with the WCHS 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

The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  
Solve:
x + y = 55
x - y = 3

• (26, 23)

• (26, 29)

• (29, 26)

• (29, 32)

Homer sells tickets for admission to a WCHS 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 of equations.

• (10, 11)

• (12, 9)

• (11, 10)

• (9, 12)

The senior class at Wayne County High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Laurel 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

 4x + 8y = 20
-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, how old are Alex and Erin?

• x = 12

  y = 21

• x = 21

  y = 12

• x = 15

  y = 18

• x = 18

  y = 15