Coin Word Problem Game

Coin Word Problem Quiz/Game
This game focuses on solving word problems involving coins, covering basic operations, conversions, and multi-step scenarios. Scroll down the page for a more detailed explanation.

 

 

How to Play the Coin Quest Game

1. Look at the Problem: Read the problem carefully. Solve it and select one of the answers.
   
2. Check Your Work: If you selected the right answer, it will be highlighted in green. If you are wrong, it will be highlighted in red and the correct answer will be highlighted in green. A hint will be given to help you find the correct answer.
   
3. Get a New Problem: Click “Next Problem” for a new problem.
   Your score is tracked, showing how many you’ve gotten right.
   
4. Finish Game When you have completed 10 questions, your final score will be displayed.
    
   

Solving Coin Word Problems
Coin word problems bridge the gap between basic arithmetic and algebraic thinking. The secret to solving them is realizing that every coin has two distinct identities: its quantity (how many you have) and its value (how much it’s worth).
The Core Equation
To solve any coin problem, you use this fundamental formula:
Total Value = Number of Coins × Value per Coin

The Value Constants
Before solving, you must know the decimal values of the coins:
Penny: $0.01
Nickel: $0.05
Dime: $0.10
Quarter: $0.25

Common Problem Types
Type A: Pure Calculation (The “Wallet” Problem)
Example: “You have 6 nickels and 3 dimes. What is the total value?"
Identify the values: Nickels = $0.05, Dimes = $0.10.
Multiply: (6 × 0.05) + (3 × 0.10)
Solve: $0.30 + $0.30 = $0.60

Type B: Finding the Quantity (The “Total” Problem)
Example: “You have $0.80 in nickels. How many coins do you have?"
Reverse the formula: Quantity = Total Value ÷ Value per Coin
Set up the math: 0.80 ÷ 0.05
Solve: 16 nickels.

Type C: Comparison Problems (Algebraic)
Example: “Sarah has 10 coins. Some are quarters and some are dimes. The total is $1.45."
Define variables: Let d be the number of dimes and $q$ be the number of quarters.
Equation 1 (Quantity): d + q = 10
Equation 2 (Value): 0.10d + 0.25q = 1.45
Substitution: If d = 10 - q, then 0.10(10 - q) + 0.25q = 1.45.

Pro-Tips for Success
Check the Units: Always decide if you are working in cents (e.g., 25) or dollars (e.g., $0.25). Don’t mix them up in the same equation.
The “Grouping” Trick: For quarters, always remember that 4 quarters = $1.00. This makes mental math much faster for large totals.
 

This video gives a clear, step-by-step approach to explain how to solve coin word problems.

• Show Video

 

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