Let's solve each of the
proportions word problems using decimals step by step. We’ll use proportional reasoning and round answers to
2 decimal places, as instructed.
---
1. A bus travels 350 km in 4 hours (with a constant speed). How far can it travel in 7 hours (with the same speed)?
Step 1: Find the speed of the bus.
$$
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{350 \text{ km}}{4 \text{ hours}} = 87.5 \text{ km/h}
$$
Step 2: Use this speed to find distance in 7 hours.
$$
\text{Distance} = \text{Speed} \times \text{Time} = 87.5 \times 7 = 612.5 \text{ km}
$$
✔ Answer: 612.50 km
---
2. If two water towers can hold 905 gallons of water, how much water can 11 water towers hold?
Step 1: Find capacity per tower.
$$
\text{Capacity per tower} = \frac{905}{2} = 452.5 \text{ gallons}
$$
Step 2: Multiply by 11 towers.
$$
452.5 \times 11 = 4977.5 \text{ gallons}
$$
✔ Answer: 4977.50 gallons
---
3. If it takes four moving trucks to move 48 boxes, how many trucks are needed to move 840 boxes?
We assume the number of boxes is directly proportional to the number of trucks.
Step 1: Find how many boxes one truck can move.
$$
\frac{48}{4} = 12 \text{ boxes per truck}
$$
Step 2: How many trucks for 840 boxes?
$$
\frac{840}{12} = 70 \text{ trucks}
$$
✔ Answer: 70.00 trucks
---
4. A factory can produce 60 TVs in 7 days. How long does it take to finish 400 TVs?
Step 1: Find production rate (TVs per day).
$$
\frac{60}{7} \approx 8.5714 \text{ TVs/day}
$$
Step 2: Time to produce 400 TVs:
$$
\frac{400}{60/7} = \frac{400 \times 7}{60} = \frac{2800}{60} \approx 46.666... \text{ days}
$$
Round to 2 decimal places:
$$
\approx 46.67 \text{ days}
$$
✔ Answer: 46.67 days
---
5. 500 lemons were packed in 8 boxes. How many lemons can be packed in 20 boxes?
Step 1: Lemons per box:
$$
\frac{500}{8} = 62.5 \text{ lemons per box}
$$
Step 2: For 20 boxes:
$$
62.5 \times 20 = 1250 \text{ lemons}
$$
✔ Answer: 1250.00 lemons
---
6. A pack of four cans of coffee cost $10.90. How much would 17 cans of coffee cost?
Step 1: Cost per can:
$$
\frac{10.90}{4} = 2.725 \text{ dollars per can}
$$
Step 2: Cost for 17 cans:
$$
2.725 \times 17 = 46.325
$$
Round to 2 decimal places:
$$
\approx 46.33 \text{ dollars}
$$
✔ Answer: $46.33
---
✔ Final Answers (rounded to 2 decimal places):
1.
612.50 km
2.
4977.50 gallons
3.
70.00 trucks
4.
46.67 days
5.
1250.00 lemons
6.
$46.33
Let me know if you'd like these problems explained with proportions or cross-multiplication methods!
Parent Tip: Review the logic above to help your child master the concept of decimals word problems worksheet.
