Solved Exercises on Counting Money Problems in Grade 2

Master counting money problems: addition, subtraction, comparison, and practical applications through these 5 detailed exercises.

Solution: Exercises 1 to 3
1 Shopping Problem
Exercise 1
Emma bought a toy for 45¢ and a book for 38¢. How much did she spend in total?
Definition:

Addition of money: Finding the total amount spent by adding individual costs

Addition method:
  1. Write down each cost
  2. Add the cents together
  3. Convert to dollars if necessary
Step 1: Identify costs

Toy = 45¢, Book = 38¢

Step 2: Add the amounts

45¢ + 38¢ = 83¢

Step 3: Express final answer

Emma spent 83¢ in total

Emma spent 83¢ in total
Final answer:

Emma spent 83¢ in total

Applied rules:

• Addition: Combine amounts to find total

• Units: Keep same units (cents) throughout

• Verification: Check by adding in reverse order

2 Comparison Problem
Exercise 2
Jake has 75¢. His sister has 45¢. How much more money does Jake have than his sister?
Definition:

Subtraction of money: Finding the difference between two amounts

Step 1: Identify both amounts

Jake = 75¢, Sister = 45¢

Step 2: Subtract smaller from larger

75¢ - 45¢ = 30¢

Step 3: Interpret the result

Jake has 30¢ more than his sister

Jake has 30¢ more than his sister
Final answer:

Jake has 30¢ more than his sister

Applied rules:

• Subtraction: Larger amount minus smaller amount

• Units: Keep same units throughout

• Verification: Check by adding difference to smaller amount

3 Budgeting Problem
Exercise 3
Lucas saved 2 quarters, 3 dimes, and 4 nickels. He wants to buy a game that costs $1.00. Does he have enough money?
Definition:

Budgeting: Comparing available money to cost of purchase

25¢
25¢
10¢
10¢
10¢
5¢
5¢
5¢
5¢
Step 1: Calculate quarters value

2 quarters × 25¢ = 50¢

Step 2: Calculate dimes value

3 dimes × 10¢ = 30¢

Step 3: Calculate nickels value

4 nickels × 5¢ = 20¢

Step 4: Calculate total savings

50¢ + 30¢ + 20¢ = 100¢ = $1.00

Step 5: Compare to game cost

$1.00 = $1.00, so Lucas has exactly enough money

Lucas has exactly $1.00, enough for the game
Final answer:

Yes, Lucas has exactly $1.00 which is enough for the game

Applied rules:

• Organize by coin type: Calculate each group separately

• Convert to dollars: 100¢ = $1.00

• Compare amounts: Check if savings ≥ cost

Rules and methods, laws,...
Total = Σ(Individual Amounts)
Money Addition Formula
Addition Rule
Total = Sum of all amounts
Add all money amounts together
Subtraction Rule
Difference = Larger - Smaller
Find difference between amounts
Comparison Rule
Available ≥ Needed?
Check if money is sufficient
Key definitions:

Cent (¢): Unit of currency equal to 1/100 of a dollar

Total: Sum of all amounts

Difference: Result of subtracting one amount from another

Complete methodology:
  1. Read carefully: Understand what the problem asks
  2. Identify amounts: Find all money values mentioned
  3. Choose operation: Decide whether to add, subtract, or compare
  4. Perform calculation: Carry out the mathematical operation
  5. Check units: Ensure all amounts use same unit
  6. Verify answer: Make sure it makes sense
Tip 1: Words like "total," "altogether," "in all" suggest addition.
Tip 2: Words like "more than," "less than," "difference" suggest subtraction.
Tip 3: Words like "enough," "can afford," "has left" suggest comparison.
Tip 4: Draw pictures or use real coins to visualize the problem.
Common errors: Mixing up addition and subtraction, forgetting to convert units, miscalculating.
Success strategies: Read twice, write down amounts, check work, use scratch paper.
Solution: Exercises 4 to 5
4 Making Change Problem
Exercise 4
At the school store, Maria bought supplies that cost 68¢. She paid with 1 dollar. How much change should she receive?
Definition:

Change calculation: Change = Amount given - Cost of items

Step 1: Convert dollar to cents

1 dollar = 100¢

Step 2: Identify cost

Supplies cost 68¢

Step 3: Calculate change

Change = 100¢ - 68¢ = 32¢

Step 4: Express change in coins

32¢ = 1 quarter + 1 nickel + 2 pennies

Change = 32¢ (1 quarter, 1 nickel, 2 pennies)
Final answer:

Maria should receive 32¢ in change

Applied rules:

• Unit conversion: 1 dollar = 100¢

• Subtraction: Amount given minus cost equals change

• Verification: Check that cost + change = amount given

5 Multi-step Problem
Exercise 5
Ben started with 85¢. He spent 25¢ on candy and then earned 40¢ from helping his mom. How much money does he have now?
Definition:

Multi-step money problem: Multiple operations in sequence

Step 1: Start with initial amount

Ben started with 85¢

Step 2: Subtract money spent

85¢ - 25¢ = 60¢

Step 3: Add money earned

60¢ + 40¢ = 100¢ = $1.00

Step 4: State final amount

Ben now has $1.00

Ben now has $1.00
Final answer:

Ben now has $1.00

Applied rules:

• Order of operations: Work through problem step by step

• Track changes: Update amount after each transaction

• Convert units: 100¢ = $1.00

Detailed Summary: Counting Money Problems
Complete Guide to Counting Money Problems

Key Concepts and Definitions

Money: What we use to buy things. In the US, money comes in coins (cents) and bills (dollars).

Cents (¢): Smaller unit of money. 100 cents = 1 dollar ($).

Coins and their values: Penny = 1¢, Nickel = 5¢, Dime = 10¢, Quarter = 25¢.

Money Problems: Word problems that involve adding, subtracting, or comparing amounts of money.

Core Rules and Principles

1. Always match units: Don't mix cents and dollars in calculations without converting.

2. Follow problem sequence: Do operations in the order they happen.

3. Check your work: Make sure your answer makes sense.

Step-by-Step Methods

Method 1: Addition Problems

  1. Find all amounts mentioned
  2. Add them together
  3. Make sure units are the same
  4. State the total

Method 2: Subtraction Problems

  1. Identify the larger amount
  2. Identify the smaller amount
  3. Subtract smaller from larger
  4. Check that result is positive

Method 3: Comparison Problems

  1. Calculate the available amount
  2. Identify the required amount
  3. Compare the two amounts
  4. State whether there's enough money

Examples (Simple → Advanced)

Simple: Adding two amounts: 25¢ + 15¢ = 40¢

Medium: Calculating change: 100¢ - 75¢ = 25¢

Advanced: Multi-step: 85¢ - 25¢ + 40¢ = 100¢

Tips, Tricks, and Common Pitfalls

Tips:

  • Draw coins to visualize problems
  • Use skip counting (by 5s for nickels, 10s for dimes, 25s for quarters)
  • Always check if your answer is reasonable

Common Mistakes:

  • Adding instead of subtracting (or vice versa)
  • Forgetting to convert between cents and dollars
  • Mixing up coin values

Key Notes for Memorization

• "More than" or "total" means ADDITION

• "Less than" or "difference" means SUBTRACTION

• "Enough" or "afford" means COMPARISON

• 100 cents = 1 dollar (always remember this conversion)

Problem Types

• Addition: combining amounts

• Subtraction: finding differences

• Comparison: checking sufficiency

• Multi-step: multiple operations

Key Operations

• Adding money amounts

• Subtracting to find change

• Converting units

• Comparing totals

Problem-Solving Steps

• Read carefully

• Identify amounts

• Choose operation

• Calculate

• Verify answer

Total = Σ(Coin Value × Quantity)
Money Addition Formula
Key definitions:

Dollar ($): Currency unit where 100 cents = 1 dollar

Counting money: Adding the value of multiple coins

Word problems: Real-life scenarios requiring money calculations

Complete methodology:
  1. Identify all coins: Recognize each type and its value
  2. Group same coins: Organize by type (quarters, dimes, etc.)
  3. Calculate each group: Multiply quantity by value
  4. Sum all groups: Add all calculated values
  5. Convert if needed: Change cents to dollars when necessary
  6. Compare or apply: Use total for comparisons or purchases
Tip 1: Use skip counting: count quarters by 25s (25, 50, 75, 100...).
Tip 2: Dimes are easy - just count by 10s (10, 20, 30...).
Tip 3: Nickels count by 5s (5, 10, 15, 20...).
Tip 4: Always verify your answer by adding in reverse order.
Memory aids: "Penny for your thoughts" (1¢), "Nickel and dime" (5¢, 10¢), "Quarter of a dollar" (25¢).
Real-world connection: Practice with actual store prices and shopping scenarios.
Essential Rules:

• Penny = 1¢, Nickel = 5¢, Dime = 10¢, Quarter = 25¢

• 100 cents = 1 dollar

• Always organize coins before counting

• Start with highest value coins for efficiency

• Check your work by recounting or using a different method

Questions & Answers

Question: I sometimes get confused about when to add and when to subtract in money problems. How can I tell the difference?

Answer: Great question! Look for key words in the problem:

  • Addition words: "total," "altogether," "in all," "combined," "sum," "spend"
  • Subtraction words: "left," "remaining," "difference," "more than," "less than," "change," "spent"

Example of addition: "John has 25¢ and Mary gives him 15¢. How much do they have altogether?" (25¢ + 15¢ = 40¢)

Example of subtraction: "Sarah had 50¢ and spent 20¢. How much does she have left?" (50¢ - 20¢ = 30¢)

If you're still unsure, try to picture the situation - are amounts being combined or taken away?

Question: What if a problem has both addition and subtraction? How do I solve it?

Answer: These are called multi-step problems. Solve them in the order they happen:

  1. Start with the initial amount
  2. Do the first operation (add or subtract)
  3. Take the result and do the next operation
  4. Continue until you've done all operations

Example: "Jake had 75¢. He spent 30¢ on candy and then found 25¢. How much does he have now?"

Step 1: Start with 75¢

Step 2: 75¢ - 30¢ = 45¢

Step 3: 45¢ + 25¢ = 70¢

Jake now has 70¢.

Work through each step one at a time!

Question: My child is having trouble with problems that involve both dollars and cents. How can I help?

Answer: The key is to convert everything to the same unit. Here's how:

  • Remember: 1 dollar = 100 cents
  • If you see dollars, convert them to cents by multiplying by 100
  • If your answer needs to be in dollars, convert cents to dollars by dividing by 100

Example: "I have $1.25 and spend 80¢. How much do I have left?"

Step 1: Convert $1.25 to cents = 125¢

Step 2: 125¢ - 80¢ = 45¢

Step 3: Answer is 45¢ or $0.45

Practice converting between dollars and cents until it becomes automatic!