Word Problems Measurement Conversion | PDF | Metrology | Quantity - Free Printable

Let's solve each word problem step by step and explain the solution clearly.

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Problem A:

A box containing 4 identical books weighs 5kg. If the weight of the box is 600g, what is the weight of each book?

#### Step-by-step Solution:
1. Total weight of box + books = 5 kg
Convert 5 kg to grams:
$ 5 \text{ kg} = 5000 \text{ g} $

2. Weight of the box = 600 g

3. So, total weight of the 4 books =
$ 5000 \text{ g} - 600 \text{ g} = 4400 \text{ g} $

4. Each book weighs:
$ \frac{4400}{4} = 1100 \text{ g} $

✔ Answer: Each book weighs 1100 grams (or 1.1 kg).

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Problem B:

I bought 10 bananas. Each banana weighed 50 grams. If the price for bananas was $6.50 per kilogram, how much did I pay?

#### Step-by-step Solution:
1. Total weight of 10 bananas:
$ 10 \times 50 \text{ g} = 500 \text{ g} $

2. Convert grams to kilograms:
$ 500 \text{ g} = 0.5 \text{ kg} $

3. Price per kg = $6.50
So, cost for 0.5 kg =
$ 0.5 \times 6.50 = 3.25 $

✔ Answer: You paid $3.25.

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Problem C:

Tina went to the store to buy three liters of orange juice for a party. The store only sold orange juice in 250ml cartons. How many 250ml cartons did Tina need to buy?

#### Step-by-step Solution:
1. Total juice needed = 3 liters
Convert to milliliters:
$ 3 \text{ L} = 3000 \text{ mL} $

2. Each carton = 250 mL

3. Number of cartons needed:
$ \frac{3000}{250} = 12 $

✔ Answer: Tina needs to buy 12 cartons.

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Problem D:

Sarah bought a 5kg bag of cherries at the market and ate 175g of them on the way home. How many grams of cherries did Sarah have left by the time she got home?

#### Step-by-step Solution:
1. Total cherries = 5 kg
Convert to grams:
$ 5 \text{ kg} = 5000 \text{ g} $

2. She ate = 175 g

3. Leftover =
$ 5000 - 175 = 4825 \text{ g} $

✔ Answer: Sarah had 4825 grams of cherries left.

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✔ Final Answers:

- A: 1100 grams per book
- B: $3.25
- C: 12 cartons
- D: 4825 grams

Let me know if you'd like these explained visually or with diagrams!