Complete Guide to Word Problems with Money

Learn how to solve real-world money problems involving addition, subtraction, and making change with step-by-step examples.

Money Word Problem Exercises
1 Addition Problem
Problem 1
Sarah has 25 cents. Her mom gives her 15 more cents. How much money does Sarah have now?
Definition:

Money addition: Combining amounts of money to find a total amount.

Solution method:
  1. Identify the first amount of money
  2. Identify the second amount of money
  3. Add the two amounts together
  4. State the total amount with the correct unit
Starting Amount
25¢
Added Amount
15¢
Total Amount
25¢ + 15¢ = 40¢
Step 1: Identify starting amount

Sarah starts with 25 cents.

Step 2: Identify added amount

Her mom gives her 15 more cents.

Step 3: Add the amounts

25 cents + 15 cents = 40 cents

Step 4: State the answer

Sarah now has 40 cents.

Sarah has 40 cents altogether
Final answer:

Sarah has 40 cents.

Addition rules:

• Same units: Only add money amounts that have the same unit (cents with cents)

• Keep unit: Include the cent symbol (¢) in your answer

• Count on: Start with the larger number and count up

2 Subtraction Problem
Problem 2
Tom has 75 cents. He buys a candy bar for 35 cents. How much money does he have left?
Definition:

Money subtraction: Taking away an amount spent from a starting amount to find what remains.

Starting Amount
75¢
Amount Spent
35¢
Remaining
75¢ - 35¢ = 40¢
Step 1: Identify starting amount

Tom starts with 75 cents.

Step 2: Identify amount spent

He spends 35 cents on a candy bar.

Step 3: Subtract the amounts

75 cents - 35 cents = 40 cents

Step 4: State the answer

Tom has 40 cents left.

Tom has 40 cents remaining
Final answer:

Tom has 40 cents left.

Subtraction rules:

• Same units: Only subtract money amounts that have the same unit

• Take away: Subtract the smaller amount from the larger amount

• Remainder: The result is what's left after spending

3 Making Change Problem
Problem 3
Emma buys a toy for 68 cents. She gives the cashier 75 cents. How much change should she get back?
Definition:

Making change: Finding the difference between money given and the cost of an item.

Money Given
75¢
Cost of Item
68¢
Change
75¢ - 68¢ = 7¢
Step 1: Identify money given

Emma gives the cashier 75 cents.

Step 2: Identify cost of item

The toy costs 68 cents.

Step 3: Calculate the difference

75 cents - 68 cents = 7 cents

Step 4: State the answer

Emma should get 7 cents in change.

Emma gets 7 cents change
Final answer:

Emma should get 7 cents in change.

Change rules:

• Subtract: Change = Money given - Cost of item

• More than cost: Money given must be greater than the cost

• Same units: All amounts must have the same unit

Money Values & Equivalents
🪙
Penny
1¢
nickel
Nickel
5¢
dime
Dime
10¢
quarter
Quarter
25¢
1¢
5¢
10¢
25¢
$1
Coins
Penny, Nickel, Dime, Quarter
Paper Bills
$1, $5, $10, $20
Conversion
100¢ = $1
Coin Value Description Example
Penny 1¢ Bronze coin with Lincoln One cent
Nickel 5¢ Silver coin with Jefferson Five cents
Dime 10¢ Small silver coin with Roosevelt Ten cents
Quarter 25¢ Large silver coin with Washington Twenty-five cents
Key definitions:

Cents: Smaller unit of money, 100 cents = 1 dollar

Dollars: Larger unit of money, $1 = 100 cents

Change: Money returned when you pay more than the cost of an item

Important equivalences:

5 pennies = 1 nickel

2 nickels = 1 dime

10 pennies = 1 dime

25 pennies = 1 quarter

100 cents = 1 dollar

Tip 1: Count by 5s for nickels, by 10s for dimes.
Tip 2: Always include the unit (¢ or $) in your answer.
Tip 3: Draw pictures to help visualize money problems.
Money Problem-Solving Strategies
Money₁ + Money₂ = Total Money
Money Addition Formula
Starting Money - Spent Money = Remaining Money
Money Subtraction Formula
Addition
Getting more
Combine amounts
Subtraction
Spending
Take away amount
Change
Difference
Money returned
Problem-solving steps:

• Read carefully: Understand what the problem is asking

• Find numbers: Identify the money amounts in the problem

• Decide operation: Determine if you need to add or subtract

• Solve: Perform the calculation with the correct units

• Check: Make sure your answer makes sense

Keyword clues: "total," "altogether," "more" suggest addition; "left," "remaining," "change" suggest subtraction.
Comprehensive Summary & Best Practices
Read → Identify → Calculate → Check
Problem-Solving Process
Detailed Summary: Word Problems with Money

Definitions:

Money: Currency used to buy goods and services, consisting of coins and bills.

Cents: The smaller unit of American currency, symbolized by ¢, with 100 cents equaling 1 dollar.

Dollars: The larger unit of American currency, symbolized by $, with 1 dollar equaling 100 cents.

Core Rules and Principles:

  • Unit consistency: Always keep the same units (cents or dollars) when adding or subtracting
  • Operation selection: Addition when receiving more money, subtraction when spending money
  • Change calculation: Change = Money given - Cost of item
  • Value recognition: Know the value of each coin (penny=1¢, nickel=5¢, dime=10¢, quarter=25¢)

Step-by-Step Methods:

  1. Read the problem: Understand the situation and what is being asked
  2. Identify key numbers: Find all the money amounts mentioned
  3. Determine operation: Decide whether to add or subtract based on the situation
  4. Perform calculation: Add or subtract the money amounts
  5. Include units: Always write the answer with the correct money symbol
  6. Check reasonableness: Verify that the answer makes sense in the context

Examples (Simple → Advanced):

Simple: Adding two coin amounts: 5¢ + 10¢ = 15¢

Intermediate: Finding change: $1 - 75¢ = 25¢

Advanced: Multi-step problem: Buying two items and finding remaining money

Tips and Tricks:

  • Counting strategy: Count by 5s for nickels, 10s for dimes, 25s for quarters
  • Visual representation: Draw circles with values to represent coins
  • Unit awareness: Remember that 100¢ = $1 when switching between units
  • Keyword identification: Look for words that indicate addition or subtraction
  • Estimation: Round numbers to check if your answer is reasonable

Common Pitfalls:

  • Forgetting to include the money symbol (¢ or $) in the answer
  • Mixing cents and dollars without converting
  • Using the wrong operation (adding instead of subtracting)
  • Not understanding coin values
  • Math errors during addition or subtraction

Memorization Aids:

Memory trick: "Penny = 1, Nickel = 5, Dime = 10, Quarter = 25"

Acronym: RICCH (Read, Identify, Calculate, Check, Have the right unit)

Value rhyme: "A penny is one, a nickel is five, a dime is ten, a quarter's twenty-five!"

Questions & Answers

Question: How do I know if I should add or subtract money in a word problem?

Answer: Look for clue words in the problem:

  • Addition words: "total," "altogether," "more," "added," "combined," "in all"
  • Subtraction words: "left," "remaining," "change," "spent," "cost," "take away"

Also think about the situation:

  • Are you getting more money? → Add
  • Are you spending money? → Subtract
  • Are you finding how much is left? → Subtract
  • Are you combining amounts? → Add

Example: "I have 25¢ and get 10¢ more" → Add (25¢ + 10¢)

Example: "I have 50¢ and spend 20¢" → Subtract (50¢ - 20¢)

Question: How can I help my child practice money word problems at home?

Answer: Here are practical ways to practice at home:

  • Real money: Use actual coins for hands-on practice
  • Shopping games: Set up a pretend store with prices
  • Daily activities: Involve your child in real shopping scenarios
  • Story problems: Create problems based on your child's interests
  • Visual aids: Draw pictures of coins and amounts

Make it fun! You can:

  • Let your child "buy" household items with play money
  • Give them an allowance problem to solve
  • Create a treasure hunt with money clues

The key is connecting math to real-life situations your child understands.

Question: What if I forget how much each coin is worth?

Answer: Here's an easy way to remember coin values:

  • Penny: 1¢ (P for Penny and 1)
  • Nickel: 5¢ (Nickel rhymes with "sickle," think of 5 fingers)
  • Dime: 10¢ (D for Dime, and "dime" sounds like "time," think of 10 o'clock)
  • Quarter: 25¢ (Think of "quarter" as a fourth of 100¢)

You can also remember this rhyme:

"A penny is one, a nickel is five, a dime is ten, a quarter's twenty-five!"

Practice with real coins often - the more you handle them, the better you'll remember their values!

You can also make flashcards with pictures of coins and their values to practice.