Metric Units
1. Problem: Add 700 m and 3.7 km, express the sum in meters.
Step 1: Convert 3.7 km to meters since 1 km = 1000 m.
$$3.7 \times 1000 = 3700 \text{ m}$$
Step 2: Add 700 m and 3700 m.
$$700 + 3700 = 4400 \text{ m}$$
Final answer: The total length is $4400$ meters.
2. Problem: Find the weight of 5000 tea bags if 70 tea bags weigh 180 g.
Step 1: Find weight of one tea bag.
$$\frac{180}{70} = 2.5714 \text{ g per tea bag}$$
Step 2: Multiply weight per tea bag by 5000.
$$2.5714 \times 5000 = 12857.14 \text{ g}$$
Step 3: Convert grams to kilograms (1000 g = 1 kg).
$$\frac{12857.14}{1000} = 12.85714 \text{ kg}$$
Final answer: 5000 tea bags weigh approximately $12.86$ kg.
3. Problem: Find the weight of 8000 tea bags if 90 tea bags weigh 3500 g.
Step 1: Weight per tea bag.
$$\frac{3500}{90} = 38.8889 \text{ g per tea bag}$$
Step 2: Weight of 8000 tea bags.
$$38.8889 \times 8000 = 311111.11 \text{ g}$$
Step 3: Convert grams to kilograms.
$$\frac{311111.11}{1000} = 311.1111 \text{ kg}$$
Final answer: 8000 tea bags weigh approximately $311.11$ kg.
4. Problem: Calculate total litres of drink made from 850 ml strawberry plus water with ratio 2:6.
Step 1: Total parts = $2 + 6 = 8$ parts.
Step 2: Each part's volume in ml.
$$\frac{850}{2} = 425 \text{ ml per part}$$
Step 3: Total volume in ml.
$$425 \times 8 = 3400 \text{ ml}$$
Step 4: Convert ml to litres (1000 ml = 1 litre).
$$\frac{3400}{1000} = 3.4 \text{ litres}$$
Final answer: One bottle makes $3.4$ litres of the drink.