# Order of operations word problems

Learn how to write order of operations word problems into numerical expressions and learn how to solve them using the order of operations.

Example #1:

Sylvia bought 4 bananas for 50 cents each and 1 apple for 80 cents. Write a numerical expression to represent this situation and then find the total cost in dollar.

Solution

4 × 50 + 80

= 200 + 80

= 280 cents or 2.80 dollars

The total cost is 2.80 dollars

Example #2:

Robert bought 2 burgers for \$3.50 each and 3 medium French fries for \$1.20 each. Write a numerical expression to represent this situation and then find the cost.

Solution

2 × 3.50 + 3 × 1.20

= 7 + 3.60

= 10.60

Example #3:

Martha pays 20 dollars for materials to make earrings. She makes 10 earrings and sells 7 for 5 dollars and 3 for 2 dollars. Write a numerical expression to represent this situation and then find Martha's profit?

Solution

7 × 5 + 3 × 2 - 20

= 35 + 6 - 20

= 41 - 20

= 21

Example #4:

John bought 3 pants for 25 dollars each and paid with a one-hundred dollar bill. Write a numerical expression to  represent this situation and then find how much money John gets back from the cashier?

Solution

100 - 3 × 25

= 100 - 75

= 25

## Tricky order of operations word problems

Example #5:

The price of a shirt is 100 dollars. The store manager gives a discount of 50 dollars. A man and his brother bought 4 shirts and then share the cost with his brother. Write a numerical expression to represent this situation and then find the price paid by each brother.

Solution

(100 - 50) × 4 ÷ 2

= (50)× 4 ÷ 2

= 200 ÷ 2

= 100

The price paid by each brother is 100 dollars

Example #6:

Peter withdrew 1000 dollars from his bank account today. He uses 500 to fix his car. Then, he divide the money into 5 equal parts and gave away 4 parts and kept 1 part for himself. Finally, he took to wife to the restaurant and spent 60 dollars on meals. Write a numerical expression to represent this situation and then find how much money Peter has now?

Solution

(1000 - 500) ÷ 5 - 60

= (500) ÷ 5 - 60

= 100 - 60

= 40

Peter has 40 dollars left.

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