Order of Operations Word Problems Worksheet - Free Printable

Let's solve each problem step by step with clear explanations and final expressions.

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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?

Step-by-step:

- Initial amount: $450
- Spends $210 on food:
$$
450 - 210 = 240
$$
- Now he divides $240 into four equal parts:
Each part = $ \frac{240}{4} = 60 $

- He keeps one part ($60), and gives away the other three parts.

- Then he finds $50 on the road.

So, total money left:
$$
60 + 50 = 110
$$

Final Expression:
$$
(450 - 210) \div 4 + 50 = 240 \div 4 + 50 = 60 + 50 = 110
$$

✔ Answer: $110

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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.

Note: $1.00 = 100¢

- Cost of napkins = 64¢
- Amount paid = 100¢
- Change = $100 - 64 = 36¢$

Expression:
$$
100 - 64 = 36 \text{ cents}
$$

✔ Answer: 36¢ (or $0.36)

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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?

Step-by-step:

- Total money: $1000
- Divided equally into two groups:
Each group gets: $ \frac{1000}{2} = 500 $

- First group ($500) is divided among 5 children:
Each child gets: $ \frac{500}{5} = 100 $

- Second group ($500) is divided among 2 brothers:
Each brother gets: $ \frac{500}{2} = 250 $

Expression for distribution:
$$
\left(\frac{1000}{2}\right) \div 5 = 100 \quad \text{(per child)}
$$
$$
\left(\frac{1000}{2}\right) \div 2 = 250 \quad \text{(per brother)}
$$

Or combined expression:
$$
\text{Each child: } \frac{1000}{2 \times 5} = \frac{1000}{10} = 100
$$
$$
\text{Each brother: } \frac{1000}{2 \times 2} = \frac{1000}{4} = 250
$$

✔ Answer:
Each child gets $100, each brother gets $250.
Expression:
$$
\frac{1000}{2} \div 5 = 100,\quad \frac{1000}{2} \div 2 = 250
$$

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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 lost $238. Write an expression for this and determine his present amount.

Step-by-step:

- Initial amount: $1500
- After doubling: $ 1500 \times 2 = 3000 $
- Profit of $165: $ 3000 + 165 = 3165 $
- Loss of $238: $ 3165 - 238 = 2927 $

Expression:
$$
(1500 \times 2) + 165 - 238 = 3000 + 165 - 238 = 2927
$$

✔ Answer: $2,927

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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.

Step-by-step:

- Notebooks: $ 3 \times 1.20 = 3.60 $
- Pencils: $1.50
- Pens: $1.70

Total:
$$
3.60 + 1.50 + 1.70 = 6.80
$$

Expression:
$$
3 \times 1.20 + 1.50 + 1.70 = 3.60 + 1.50 + 1.70 = 6.80
$$

✔ Answer: $6.80

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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.

Step-by-step:

- Initial cash: $35
- Withdraws $200 → now has: $ 35 + 200 = 235 $

Now purchases:

- Trousers: $34
- 2 shirts: $ 2 \times 16 = 32 $
- 2 pairs of shoes: $ 2 \times 24 = 48 $

Total spent:
$$
34 + 32 + 48 = 114
$$

Money left:
$$
235 - 114 = 121
$$

Expression:
$$
(35 + 200) - (34 + 2 \times 16 + 2 \times 24) = 235 - (34 + 32 + 48) = 235 - 114 = 121
$$

✔ Answer: $121

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✔ Final Answers Summary:

1) $110
2) $0.36
3) Each child: $100; each brother: $250
4) $2,927
5) $6.80
6) $121

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