Solve System of Equations Real World

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? (Let x represent chicken dinners and y represent steak.)

• x + y = 6

  14.80x + 17y = 91

• x + y = 91

  14.80x + 17y = 6

• x + y = 6

  14.80y + 17x = 91

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales. Which system best represents the situation?

• 4m + 7r = 578

  m + r = 3365

• 4m + 7r = 3365

  m + r = 578

• 4m + 7r = 578

  m + r = 3365

• 4r + 7m= 3365

  m + r = 578

Solve:

y= 4x + 9

y = 5x + 10

• (-1, 5)

• (9, 19)

• (-1, -1)

• (9, 1)

Solve the following system of equations.

• (15, 120, 45)

• (120, 15, 45)

• (15, -15, 0)

• (-15, 15, 0)

Solve the system.

• (1, 2, -2)

• (1, -3, -2)

• (-1, 3, 2)

• No Solution

Write a system of equations to describe the situation and solve. A TV station executive is planning the new lineup for next season's shows. On Monday nights, there will be 5 sitcoms and 2 dramas, for a total of 199 minutes of shows. On Tuesday nights, he has scheduled 3 sitcoms and 5 dramas, for a total of 298 minutes of shows. All sitcoms have the same length and all dramas have the same length. How long is each type of show?

• 22 minutes for a sitcom and 46 minutes for a drama

• 23 minutes for a sitcom and 47 minutes for a drama

• 22 minutes for a sitcom and 45 minutes for a drama

• 21 minutes for a sitcom and 47 minutes for a drama

Write a system of equations to describe the situation and solve. A TV station executive is planning the new lineup for next season's shows. On Monday nights, there will be 5 sitcoms and 2 dramas, for a total of 199 minutes of shows. On Tuesday nights, he has scheduled 3 sitcoms and 5 dramas, for a total of 298 minutes of shows. All sitcoms have the same length and all dramas have the same length. How long is each type of show?

• 22 minutes for a sitcom and 46 minutes for a drama

• 23 minutes for a sitcom and 47 minutes for a drama

• 22 minutes for a sitcom and 45 minutes for a drama

• 21 minutes for a sitcom and 47 minutes for a drama

A large pizza at Pizzi Inn costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 

• y = 6.80 + .65x
  y=7.30+.90x

• x + y = 6.80
  x + y = 7.30

• y = 6.80+.90x
  y = 7.30 + .65x

• y + .90x = 6.80
  y + .65x = 7.30

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

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