Word Problems on Money (Definition, Types and Examples) - BYJUS

Word Problems on Money

We encounter problems related to money almost every day. We might need to add or subtract money, or we might even have to convert it into a different denomination. Solving word problems related to money will help us get accustomed to these day-to-day problems. One of the most common money-related problems is calculating the change....Read MoreRead Less

Change

When you are at the store, it would be smart to calculate your change. You could even turn it into a game. Before you ask the cashier, try to figure out how much change you should get. Then count it out once you have got your change. Count the change you receive and add it to the price of the bill to double-check your change. All of this should equal the amount you paid.

What you paid = change + bill is the formula for checking the change.

Change is nothing but calculating the extra amount you get back from the shopkeeper when you pay more than the required amount to buy a thing.

For example, you go to a stationery store and buy a pen that costs 50 cents, but you have a one-dollar note. After you give that one-dollar note to the shopkeeper, the shopkeeper has to return 50 cents to you along with the pen. To find the change, we need to subtract.

100 cents – 50 cents = 50 cents change

Conversions of Money

When you add coins, you must also include the cents. One dollar equals 100 cents. If you have more than 100 cents, you have a dollar. If the coins amount to 145 cents, the denomination is 1 dollar and 45 cents. The total would be 521 cents if we add 5 dollars and 21 cents.

• Converting 1 dollar to a quarter,

1 dollar = 100 cents

= 50 cents + 50 cents

= (25 + 25) cents + (25 + 25) cents

= 4 quarter coins.

• Converting 1 quarter to a dime and a nickel,

1 quarter = 25 cents

= 10 cents + 10 cents + 5 cents

= (10 + 10) cents + 5 cents

= 2 dimes and 1 nickel.

• Converting 1 dime to a nickel,

1 dime = 10 cents

= 5 cents + 5 cents

= (5 + 5) cents

= 2 nickel coins.

• Converting 1 nickel to a pennyn,

1 nickel = 5 cents

= 1 cent + 1 cent + 1 cent + 1 cent + 1 cent

= (1 + 1 + 1 + 1 + 1) cents

= 5 pennies.

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Solved Examples

Example 1: In one pocket, you have two nickels and three pennies. In your other pocket, you have a dime and a quarter. What is the total amount of money you have? Will you be able to purchase a 60-cent toy car?

Solution: We have

2 nickels + 3 pennies + 1 dime + 1 quarter

5 cents + 5 cents + 1 cent + 1 cent + 1cent + 10 cents + 25 cents = 48 cents.

The total amount we have is 48 cents, but we need 60 cents.

This shows that we do not have enough money to buy a toy car.

Example 2: You have one nickel, two pennies, and one dime on you. How much cash do you have ?

Solution: We have 1 nickel + 2 pennies + 1 dime

5 cent+1 cent + 1 cent+ 10 cents = 17 cents.

Example 3: You purchase a pen. You give the shopkeeper two dollars. The shopkeeper returns 2 quarters and 1 penny. What is the price of the pen?

Solution:

What you paid = change + bill is the formula for checking the change.

2$= 2 quarters +1 penny + Bill Bill = 2$ 2 quarters 1 penny

Bill = 200 cents 50 cents 1cent

(Since each dollar represents 100 cents and each quarter represents 25 cents, each penny represents 1 cent)

Bill = 149 cents (simplified)

Therefore, the cost of the pen is 149 cents, which means 1 dollar, 4 dimes, and 9 pennies.

Example 4: A toy is purchased with fewer than six coins. To demonstrate how you pay for a 42-cent toy, draw and label the coins.

Solution:

The toy costs 42 cents. 42 cents can be added up as 25 + 10 + 5 + 2.

So, we have to pay five coins, such as 1 quarter, 1 dime, 1 nickel, and 2 pennies.

Example 5: A pet dog is purchased by John. He pays with a dollar and three nickels. How much did he have to pay?

Solution: John has 3 nickels and a 1-dollar note.

Therefore, John pays 115 cents to buy the dog.