ORDER OF OPERATIONS WORD PROBLEMS WORKSHEET

Problem 1 :

Lenin has $520. He spends $320 on food. Later he divides all the money into five equal parts out of which four parts were distributed and one part he keeps for himself. Then he found $72 on the road. Write the final expression and find the money he has left?

Problem 2 :

You pay $1.55 to buy a package of paper napkins costing 74¢. How much change will you get back? Give the expression also.

Problem 3 :

Jack has $1,500 to be distributed among two groups equally. Later, the first part is divided among 3 children and second part is divided among 5 brothers. Give the expression that represents how the money distribution between two groups was dispersed?

Problem 4 :

James has $2,540 and he invested in stock. In one day, his money was doubled. The next day he got a profit of $330 and later loss of $278. Write an expression for this and determine the final amount of money in stock.

Problem 5 :

Jessica bought 4 notebooks for $1.60 each, two boxes of pencils for $1.50 each, and a box of pens for $1.70. Write an expression for Jessica's total expenditure and find how much she paid in all.

Problem 6 :

Dustin had $53 and withdrew $375 from his bank account. He bought a pair of trousers for $35.00, 5 shirts for $17.00 each, and 3 pairs of shoes for $25.00 each. Give the final expression, and determine how much money Dustin had at the end of the shopping day.

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Answers

1. Answer :

The final expression which represents the total amount of money Adam has left :

= [(520 - 320) ÷ 5] + 72

Evaluation

= [(520 - 320) ÷ 5] + 72

= [(520 - 320) ÷ 5] + 72

= [200 ÷ 5] + 72

= 40 + 72

= 112

Operation

Brackets

Parentheses

Division

Addition

Result

Amount of money Lenin has left is $112.

2. Answer :

The final expression which represents the change you will get back :

= $1.55 - 7

In the expression above, one value is in dollars and other value is in cents. To simplify the above expression, both the values must be in same unit.

Since 1$ = 100¢, multiply the dollars by 100 to convert it to cents.

= 1.55x100¢ - 74¢

Now, both the values are in the same unit, cents.

Evaluation

= 1.55x100 - 74

= 155 - 74

= 81

Operation

Multiplication

Subtraction

Result

The change will you get back is 81¢.

3. Answer :

Since $1,500 is distributed among two groups equally, amount of money that each group gets :

= 1500/2

First Part :

The expression which represents the amount of money that each child gets in the first part :

= (1500/2) ÷ 3

Evaluation

= (1500/2) ÷ 3

= 750 ÷ 3

= 250

Operation

Parentheses

Division

Result

In the first part, each of the three children gets $250.

Second Part :

The expression which represents the amount of money that each brother gets in the second part :

= (1500/2) ÷ 5

Evaluation

= (1500/2) ÷ 5

= 750 ÷ 5

= 150

Operation

Parentheses

Division

Result

In the second part, each of the five brothers gets $150.

4. Answer :

The expression which represents Andy's present amount :

= 2540 x 2 + 330 - 278

Evaluation

= 2540 x 2 + 330 - 278

= 5080 + 330 - 278

= 5410 - 278

= 5132

Operation

Multiplication

Addition

Subtraction

Result

The final amount of money in stock is $5132.

5. Answer :

The expression which represents Jessica's expenditure :

= 4x1.60 + 2x1.50 + 1x1.70

Evaluation

= 4x1.60 + 2x1.50 + 1x1.70

= 6.40 + 3.00 + 1.70

= 11.10

Operation

Multiplication

Addition

Result

Jessica paid $11.10 in all.

6. Answer :

The final expression which represents the money Dustin at the end of the shopping day :

= 53 + 375 - 35 - 5x17 - 3x25

Evaluation

= 53 + 375 - 35 - 5x17 - 3x25

= 53 + 375 - 35 - 85 - 75

= 428 - 35 - 85 - 75

= 393 - 85 - 75

= 308 - 75

= 233

Operation

Multiplication

Addition

Subtraction

Subtraction

Subtraction

Result

Amount of money that Dustin had at the end of the shopping day is $233.

Practice Questions

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