Solve System of Equations Real World

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  Which system of equations could be used to find the exact number of dimes and nickels? 

• d + n = 6.60
  .10d + .05n = 80

• d + n = 80
  d + n = 6.60

• d + n = 80
  .10d + .05n = 6.60

• d + n = 80
  .05d + .10n = 6.60

The difference of a and b is 3. The sum of the variables is 13. Find the numbers.

• a = 7
  b = 10

• a = 8
  b = 5

• a = 10
  b = 13

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

On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.

• Adult $13
  Child $5

• Adult $10
  Child $6

• Adult $8
  Child $16

• Adult $12
  Child $13

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

The difference of a and b is 3. The sum of a and b is 13. Find the values of a and b.

• a = 7

  b = 10

• a = 8

  b = 5

• a = 10

  b = 13

• a = 6.5

  b = 2

What would the solution of this system be?

• (0 , 12)

• (12, 0)

• No Solution

• Infinite Solutions

What would the solution of this system of equations be?

• (0, 0)

• (0, 39)

• No Solution

• Infinite Solutions

Solve the following real world example using any method: Mary's school is selling tickets to a play. On the first day of ticket sales the school sold 8 senior citizen tickets and 2 child tickets for a total of $82. The school took in $163 on the second day by selling 14 senior citizen tickets and 5 child tickets. What is the price of each ticket?

• Senior Citizen: $10

  Child: $3

• Senior Citizen: $13

  Child: $7

• Senior Citizen: $7

  Child: $13

• Senior Citizen: $18

  Child: $13