ORDER OF OPERATIONS WORD PROBLEMS

Problem 1 :

Adam has $450. He spends $210 on food. Later he divides all the money into four parts out of which three parts were distributed and one part he keeps for himself. Then he found $50 on the road. Write the final expression and find the money he has left?

Solution :

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

= [(450 - 210) ÷ 4] + 50

Evaluation

= [(450 - 210) ÷ 4] + 50

= [(450 - 210) ÷ 4] + 50

= [240 ÷ 4] + 50

= 60 + 50

= 110

Operation

Brackets

Parentheses

Division

Addition

Result

Amount of money Adam has left is $110.

Problem 2 :

You pay $1.00 to buy a package of paper napkins costing 64¢. How much change will you get back? Give the expression also.

Solution :

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

= $1 - 64¢

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.

= 1x100¢ - 64¢

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

Evaluation

= 1x100 - 64

= 100 - 64

= 36

Operation

Multiplication

Subtraction

Result

The change will you get back is 36¢.

Problem 3 :

Sam has $1,000 to be distributed among two groups equally. Later, the first part is divided among five children and second part is divided among two brothers. Give the expression that represents how the money distribution between two groups was dispersed?

Solution :

Since $1,000 is distributed among two groups equally, amount of money that each group gets :

= 1000/2

First Part :

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

= (1000/2) ÷ 5

Evaluation

= (1000/2) ÷ 5

= 500 ÷ 5

= 100

Operation

Parentheses

Division

Result

In the first part, each of the five children gets $100.

Second Part :

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

= (1000/2) ÷ 2

Evaluation

= (1000/2) ÷ 2

= 500 ÷ 2

= 250

Operation

Parentheses

Division

Result

In the second part, each of the two brothers gets $250.

Problem 4 :

Andy has $1,500 and he invested in stock. In one day, his money was doubled. The next day he got a profit of $165 and later loss of $238. Write an expression for this and determine his present amount.

Solution :

The expression which represents Andy's present amount :

= 1500 x 2 + 165 - 238

Evaluation

= 1500 x 2 + 165 - 238

= 3000 + 165 - 238

= 3165 - 238

= 2927

Operation

Multiplication

Addition

Subtraction

Result

Andy's present amount is $2927.

Problem 5 :

Linda bought 3 notebooks for $1.20 each, a box of pencils for $1.50, and a box of pens for $1.70. Write an expression for Linda's total expenditure and find how much she paid in all.

Solution :

The expression which represents Linda's expenditure :

= 3x1.20 + 1x1.50 + 1x1.70

Evaluation

= 3x1.20 + 1x1.50 + 1x1.70

= 3.60 + 1.50 + 1.70

= 6.80

Operation

Multiplication

Addition

Result

Linda paid $6.80 in all.

Problem 6 :

Mel had $35 and withdrew $200 from his bank account. He bought a pair of trousers for $34.00, 2 shirts for $16.00 each, and 2 pairs of shoes for $24.00 each. Give the final expression, and determine how much money Mel had at the end of the shopping day.

Solution :

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

= 35 + 200 - 34 - 2x16 - 2x24

Evaluation

= 35 + 200 - 34 - 2x16 - 2x24

= 35 + 200 - 34 - 32 - 48

= 235 - 34 - 32 - 48

= 201 - 32 - 48

= 169 - 48

= 121

Operation

Multiplication

Addition

Subtraction

Subtraction

Subtraction

Result

Amount of money that Mel had at the end of the shopping day is $121.

Practice Questions

order-of-operations-word-problems.png

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