Order Of Operations Word Problems - Fill and Sign Printable ... - Free Printable

Let's solve each problem step by step using the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

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Problem 1:

Adam has $450. He spends $210 on food. Later he divides all the money into four parts out of which three parts are for his family 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:
- Start with $450
- Subtract $210 spent on food:
$ 450 - 210 = 240 $
- Now divide this $240 into four equal parts:
Each part = $ 240 ÷ 4 = 60 $
- He keeps one part for himself → $60
- Then he finds $50 on the road → add $50
- Final amount = $ 60 + 50 = 110 $

#### Expression:
$$
((450 - 210) ÷ 4) + 50
$$

#### Final Answer:
$110

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Problem 2:

You pay $1.00 to buy a package of paper napkins costing 64¢. How much change will you get back? Give your answer in cents.

#### Step-by-step:
- You paid $1.00 = 100 cents
- Napkins cost 64 cents
- Change = 100 - 64 = 36 cents

#### Expression:
$$
100 - 64
$$

#### Final Answer:
36 cents

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Problem 3:

Sam has $1,000 to be distributed among two groups equally. Later, the first part is divided among five children and the second part is divided among two brothers. Give the expression that represents how many dollars were given between the two groups and write the total amount.

#### Step-by-step:
- Total: $1,000
- Divided equally into two groups:
Each group gets $1,000 ÷ 2 = $500
- First group ($500) divided among 5 children:
Each child gets $500 ÷ 5 = $100
- Second group ($500) divided among 2 brothers:
Each brother gets $500 ÷ 2 = $250
- Total amount distributed: $500 + $500 = $1,000

But the question asks: *"Give the expression that represents how many dollars were given between the two groups"* — this means total distributed.

#### Expression:
$$
(1000 ÷ 2) + (1000 ÷ 2)
\quad \text{or} \quad
1000
$$

Alternatively, if they want the distribution per group:
- First group: $1000 ÷ 2 = 500$, then $500 ÷ 5 = 100$ per child
- Second group: $500 ÷ 2 = 250$ per brother

But the total amount given between both groups is still $1,000.

#### Final Answer:
Expression: $ (1000 ÷ 2) + (1000 ÷ 2) $
Total amount: $1,000

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Problem 4:

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

#### Step-by-step:
- Initial: $1,500
- Doubled: $1,500 × 2 = $3,000
- Loss of $165: $3,000 - 165 = $2,835
- Later loss of $238: $2,835 - 238 = $2,597

#### Expression:
$$
(1500 × 2) - 165 - 238
$$

#### Final Answer:
$2,597

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Problem 5:

Linda bought 3 notebooks for $1.20 each and a box of pencils for $1.50, and a box of pens for $1.70.

#### Step-by-step:
- Cost of notebooks: 3 × $1.20 = $3.60
- Pencils: $1.50
- Pens: $1.70
- Total = $3.60 + $1.50 + $1.70 = $6.80

#### Expression:
$$
(3 × 1.20) + 1.50 + 1.70
$$

#### Final Answer:
$6.80

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Problem 6:

Mel had $35 and withdrew $200 from his bank account. He bought a pair of trousers for $54.00, 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: $35
- Withdraws $200 → now has $35 + $200 = $235
- Trousers: $54.00
- 2 shirts: 2 × $16 = $32
- 2 pairs of shoes: 2 × $24 = $48
- Total spent: $54 + $32 + $48 = $134
- Remaining: $235 - $134 = $101

#### Expression:
$$
(35 + 200) - (54 + (2 × 16) + (2 × 24))
$$

Simplify:
$$
235 - (54 + 32 + 48) = 235 - 134 = 101
$$

#### Final Answer:
$101

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✔ Final Answers Summary:

1. $110
2. 36 cents
3. Expression: $ (1000 ÷ 2) + (1000 ÷ 2) $, Total: $1,000
4. $2,597
5. $6.80
6. $101

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