Systems of Equations by Word Problems

The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets (x) and 5 student tickets (y) for a total of $102. The school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price each of one senior citizen ticket and one student ticket?

Castel and Gabriella are selling pies for a school fundraiser. Customers can buy apple and lemon meringue pies. Castel sold 6 apple pies (x) and 4 lemon meringue pies (y) for a total of $80. Gabriella sold 6 apple pies and 5 lemon meringue pies for a total of $94. What is the cost of one apple pie and one lemon meringue pie.

Ming and Carlos are selling cookie dough for a school fundraiser. Customers can by packages of chocolate chip or gingerbread cookie dough. Ming sold 8 packages of chocolate chip (x) and 12 gingerbread (y) for a total of $364. Carlos 1 package of chocolate chip and 4 packages of gingerbread for $93. What is the cost of one package of chocolate chip and one package of gingerbread cookie dough?

Amanda and Ndiba are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs (x) and bags of daffodil bulbs (y). Amanda sold 6 packages of tulips and 12 bags of daffodils for a total of $198. Ndiba sold 7 packages of tulips and 6 bags of daffodils for $127. Find the cost of one tulip package and one daffodil bag.

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

Which system of equations is correct?

• 
• 
• 
• 

The school that Imani goes to is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 3 senior citizen tickets (x) and 3 child tickets (y) for a total of $69. The school took in $91 on the second day selling 5 senior citizen tickets and 3 child tickets. What is the price of one senior citizen ticket and one child ticket?

The senior classes at High School A and High School B planned separate trips to New York City. High school A filled 16 vans (x) and 5 buses (y) with 417 students. High School B filled 10 vans and 8 buses with 480 students. How many students can one van and one bus carry?

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have?  Which system best represents the situation? 

• x + y = 1430
  20x + 50y = 49

• x + y = 49
  10x + 5y = 1430 

• x + y = 49
  20x + 50y = 1430

• x + y = 49
  x + y = 1430

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

• 1s + 3c = 38
  2s + 3c = 52

• 3s + 1c = 38
  3s + 2c = 52

• s + c = 38
  s + c = 52

• 3s + 3c = 38
  1s + 2c = 52