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2nd Grade Math (Common Core) • Measurement and Data

Solve Money Word Problems with Coins and Bills

Learn to count money and solve real-world problems with pennies, nickels, dimes, quarters, and dollar bills.

Explore the lesson 8 min read
Friendly shapes with counting blocks and a calculator for elementary math
Inside this lesson 10 sections 5 questions 7 figures

SECTION 1

How Money Came to Be

Long ago, people didn't use money like we do today. They would trade things they had for things they needed. If you had apples and wanted milk, you would find someone with milk who wanted apples. This was called bartering.

Ancient Times • Trading Things

People traded food, animals, and tools. If you wanted something, you had to find someone who wanted what you had.

About 600 BC • First Coins

Over 2,500 years ago, people started using small metal pieces called coins. These were easier to carry than big things like cows or bags of wheat.

1600s • Paper Money

Paper money was invented because coins were heavy. Paper was much lighter to carry around.

1792 • American Coins

America started making its own coins, including pennies, dimes, and quarters. Each had a different value. The nickel we use today came along later in 1866.

Today, we use coins and bills to buy things. Learning to count money helps us know if we have enough to buy what we want. It also helps us know how much change we should get back when we pay for something.

SECTION 2

Understanding Money Values

Each coin and bill has a special value. This tells us how much it's worth. When we solve money problems, we need to know these values and add them up correctly.

1

Know Each Value

Every coin and bill has its own worth. A penny = 1¢, nickel = 5¢, dime = 10¢, quarter = 25¢, and dollar = 100¢.
2

Count Carefully

Start with the biggest values first, then add the smaller ones. This makes counting easier and helps avoid mistakes.
3

Check Your Work

Always count your money twice to make sure you got the right answer. This helps you catch any mistakes.
💰

KEY TAKEAWAY

Here's a fun fact: a dime is smaller than a nickel, but a dime is worth more! The value of a coin isn't about its size—it's about the number printed on it. That's why we need to learn what each coin is worth instead of just guessing by how big it is.

SECTION 3

Coins and Bills Chart

Money Values1¢Penny1 cent5¢Nickel5 cents10¢Dime10 cents25¢Quarter25 cents$1ONE DOLLARDollar Bill100 cents$5FIVE DOLLARSFive Dollar Bill500 centsRemember: 100 cents = 1 dollar100¢ = $1.00
This chart shows all the coins and bills we use most often. Notice how each one has a different value. The penny is worth 1 cent, the quarter is worth 25 cents, and the dollar bill is worth 100 cents.

Look at the chart above to see each type of money. When you count money, you add up all the values. A quarter and a dime would be 25¢ + 10¢ = 35¢. That's how we solve money problems—by adding up all the coin and bill values!

SECTION 4

Adding Money Values

To solve money word problems, we need to add up the values of all the coins and bills. Here are the steps we always follow.

COIN VALUES

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

These are the four coins we use most often. Remember these values!

BILL VALUES

$1=100¢,$5=500¢,$10=1,000¢\$1 = 100¢, \$5 = 500¢, \$10 = 1,000¢

Bills are worth many cents. We can write them as dollars ($) or cents (¢).

ADDING MONEY

Total=Value1+Value2+Value3+...Total = Value₁ + Value₂ + Value₃ + ...

Add up all the coin and bill values to get the total amount of money.

The most important thing is to count each coin and bill correctly. If you have 3 dimes, that's 10¢ + 10¢ + 10¢ = 30¢. If you have 2 quarters, that's 25¢ + 25¢ = 50¢.

SECTION 5

Steps to Solve Money Problems

Every money word problem can be solved by following the same four steps. Let's learn what these steps are and how to use them.

Four Steps to Solve Money ProblemsStep 1Read theproblem carefullyStep 2Find all coinsand billsStep 3Count the valueof each oneStep 4Add them all upfor the totalExample: Maria has 2 quarters, 1 dime, and 3 pennies. How much money does she have?Step 1: Read carefully ✓ Step 2: 2 quarters, 1 dime, 3 pennies ✓Step 3: 25¢ + 25¢ + 10¢ + 1¢ + 1¢ + 1¢ Step 4: Total = 63¢
Follow these four steps every time you solve a money problem. Step 1 is reading carefully to understand what the problem is asking. Step 4 is adding up all the values to get your final answer.

Practice these steps with every problem. Soon, you'll be able to solve money problems quickly and know that your answer is correct!

SECTION 6

Solving a Money Problem Step by Step

Let's solve a complete money problem together. We'll use all four steps and show you exactly how to think through each part.

Problem: Jake wants to buy a toy car that costs 75¢. He has 2 quarters, 2 dimes, and 5 pennies. Does he have enough money?

  1. 1

    Step 1 — Read the Problem Carefully

    Jake wants a toy car that costs 75¢. He has 2 quarters, 2 dimes, and 5 pennies. We need to find out if his money is enough.
  2. 2

    Step 2 — Find All Coins and Bills

    Jake has:
    2 quarters, 2 dimes, 5 pennies
  3. 3

    Step 3 — Count the Value of Each One

    2 quarters = 25¢ + 25¢ = 50¢ • 2 dimes = 10¢ + 10¢ = 20¢ • 5 pennies = 1¢ + 1¢ + 1¢ + 1¢ + 1¢ = 5¢
  4. 4

    Step 4 — Add Them All Up

    Total money = 50¢ + 20¢ + 5¢ = 75¢ • Toy car costs = 75¢ • Jake has exactly enough money!
    Yes, Jake has enough money to buy the toy car.

SECTION 7

Helpful Tips for Money Problems

Here are some smart tips and tricks to help you solve money problems faster and make fewer mistakes.

Helpful TipWhy It WorksExample
Count big values firstQuarters and dimes add up faster than counting lots of pennies3 quarters = 75¢ right away
Group the same coinsIt's easier to count when you put all pennies together, all dimes together4 nickels = 5¢ + 5¢ + 5¢ + 5¢ = 20¢
Check your answerCount the money a second time to make sure you didn't make a mistakeIf you got 67¢, count again to be sure

Smart tips for solving money word problems

🎯

KEY TAKEAWAY

Solving money problems is like sorting your Halloween candy! You count all the chocolate bars first (they're worth the most), then the lollipops, then the small candies. When you organize by type and start with the biggest values, counting becomes much easier!

SECTION 8

What Comes Next with Money

Once you master counting coins and bills, you'll learn even more advanced money skills. These will help you in real life when you go shopping or save money.

What You Know NowWhat You'll Learn Next
Count individual coins and billsMake change when you buy something
Add up money amountsCompare prices to find the best deal
Solve simple money word problemsWork with dollars and cents together ($2.35)
Know coin and bill valuesLearn about saving, spending, and earning money

Learning about money now will help you become smart with money your whole life. You'll know how to count money quickly, figure out if you have enough to buy something, and understand when you're getting the right change back.

SECTION 9

Practice Problems

Now it's time to practice what you've learned! Try these five problems. Start with the easier ones and work your way up.

Question 1: CONCEPTUAL

Which coin is worth the most: a penny, nickel, dime, or quarter? How many cents is it worth?
Show answer
The quarter is worth the most. A quarter is worth 25 cents (25¢). Even though a dime is smaller than a nickel, size doesn't determine value—the quarter has the highest number value of all the coins.

Question 2: BASIC CALCULATION

Emma has 3 dimes and 4 pennies. How much money does she have in total?
Show answer
Emma has 34 cents total. Here's how: 3 dimes = 10¢ + 10¢ + 10¢ = 30¢, and 4 pennies = 1¢ + 1¢ + 1¢ + 1¢ = 4¢. Adding them together: 30¢ + 4¢ = 34¢.

Question 3: INTERMEDIATE

Carlos has 1 quarter, 2 nickels, and 6 pennies. His sister has 3 dimes and 1 nickel. Who has more money and by how much?
Show answer
Carlos has more money by 6 cents. Carlos has: 1 quarter = 25¢, 2 nickels = 5¢ + 5¢ = 10¢, 6 pennies = 6¢. Total for Carlos: 25¢ + 10¢ + 6¢ = 41¢. His sister has: 3 dimes = 10¢ + 10¢ + 10¢ = 30¢, 1 nickel = 5¢. Total for his sister: 30¢ + 5¢ = 35¢. The difference is 41¢ - 35¢ = 6¢, so Carlos has 6 cents more than his sister.

Question 4: APPLIED

Maya wants to buy a bookmark that costs 85¢. She has 3 quarters, 1 dime, and 2 pennies. Does she have enough money? If so, how much will she have left over?
Show answer
Yes, Maya has enough money! She has 87¢ in total. Here's how: 3 quarters = 25¢ + 25¢ + 25¢ = 75¢, 1 dime = 10¢, and 2 pennies = 2¢. So 75¢ + 10¢ + 2¢ = 87¢. The bookmark costs 85¢, and since 87¢ is more than 85¢, she can buy it. She will have 87¢ - 85¢ = 2¢ left over.

Question 5: CRITICAL THINKING

Lily has exactly 50¢ using only quarters and dimes. What are all the different ways she could make 50¢ with only quarters and dimes?
Show answer
There are exactly 2 ways to make 50¢ using only quarters and dimes. Way 1: 2 quarters (25¢ + 25¢ = 50¢). Way 2: 5 dimes (10¢ + 10¢ + 10¢ + 10¢ + 10¢ = 50¢). We can check that no other combination works: 1 quarter = 25¢, and we would need 25¢ more from dimes. But 25¢ cannot be made with dimes because dimes are worth 10¢ each, and no number of 10s adds up to exactly 25. So the only two ways are 2 quarters or 5 dimes.

SUMMARY

Money Word Problems Summary

Summary

Solving money word problems is all about knowing coin and bill values and adding them up correctly. Remember that a penny = 1¢, nickel = 5¢, dime = 10¢, quarter = 25¢, and dollar bill = 100¢.

Always follow the four-step process: read carefully, find all the money, count each value, and add them up. Start with bigger values first (like quarters) to make counting easier. Check your work by counting a second time. With practice, you'll become fast and confident at solving any money problem!

Varsity Tutors • 2nd Grade Math • Solve Money Word Problems with Coins and Bills