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Solving Coin and Ticket Problems: Examples and Exercises

Welcome to Happy Freedonia, your go-to source for relaxation and problem-solving! In this lesson, we tackle classic coin and ticket problems, helping you refine your math skills. Examples include finding the number of coins in possession through equations that involve pennies, quarters, hotels, houses, and ticket sales from school plays. You will learn to set up equations based on given values and quantities and solve for unknowns efficiently. Join us in uncovering the mysteries behind these coin and ticket dilemmas!

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Solving Coin and Ticket Problems: Examples and Exercises

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  1. Aim # 11: How Do We Solve “Coin” and “Ticket” Problems?

  2. Welcome to Happy Freedonia Your Gateway To Relaxation

  3. Ankas Zoombas

  4. Ankas Zoombas

  5. Ankas Zoombas

  6. Ankas Zoombas

  7. Ankas Zoombas

  8. Ankas Zoombas A 8 −A Total # of Ankas + Total # of Zoombas = Total # of Coins

  9. Zoombas=$0.35 Ankas = $0.12

  10. Ankas = $0.12 Zoombas=$0.35

  11. Ankas = $0.12 Zoombas=$0.35 0.12(1) + 0.35(7) = 2.57

  12. Ankas = $0.12 Zoombas=$0.35

  13. Ankas = $0.12 Zoombas=$0.35 0.12(2) + 0.35(6) = 2.34

  14. Ankas = $0.12 Zoombas=$0.35 0.12(3) + 0.35(5)= 2.11

  15. Ankas = $0.12 Zoombas=$0.35 0.12(3) + 0.35(8 −3) = 2.11

  16. Ankas = $0.12 Zoombas=$0.35 A 8 −A Total $Value Of Ankas Total Amt in US $ Total $Value Of Zoombas = + $ 0.12(A) + 0.35(8− A) =

  17. Total Value Of The Coins Value Per Coin Number Of Coins X =

  18. Total Value Of That Type of Coin Value Per That Type of Coin Number Of That Type of Coin X =

  19. Total Value Of All Coins Put Together Total Value of Coin #1 Total Value Of Coin #2 + =

  20. Ex # 1 Your uncle is jingling the coins in his pocket and asks you a riddle. “I have 30 coins in my pocket. They are pennies and quarters. The thirty coins add up to $ 4. 86. How many of each coin do I have?

  21. Ex # 2 In the game Monopoly, I own 7 more hotels than I own houses. My hotels cost me $450 each, and my houses cost me $160 each. If I spent a total of $5,590, how many hotels and how many houses did I purchase?

  22. Ex # 3 Three-hundred fifty adults and children attended the school play. The revenue from selling the tickets was $1,650. If adult’s tickets were $6 each, and children’s tickets were $3 each, how many adults and how many children attended the school play?

  23. Ex # 4 Your brother says he has $2.65 in his Spongebob Bank. You know he has only nickels and dimes in the bank, and he has a total of 33 coins. How many nickels and how many dimes are in your brother’s bank?

  24. Homework # 11 Textbook: Problems p. 423, qq. 3, 4, 5 p. 434, qq. 7, 8

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