Let’s solve each problem one by one. We’ll use proportions — that means setting up ratios and solving for the unknown.
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Problem 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 speed per hour.
Speed = Distance ÷ Time = 350 km ÷ 4 hours = 87.5 km/hour
Step 2: Multiply speed by new time.
Distance in 7 hours = 87.5 × 7 = 612.5 km
✔ Answer:
612.50 km (rounded to 2 decimal places)
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Problem 2:
If two water towers can hold 905 gallons of water, how much water can 11 water towers can hold?
Step 1: Find how much one tower holds.
One tower = 905 ÷ 2 = 452.5 gallons
Step 2: Multiply by 11.
11 towers = 452.5 × 11 = 4977.5 gallons
✔ Answer:
4977.50 gallons
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Problem 3:
If it takes four moving trucks to move 48 boxes, how many trucks are needed to move 840 boxes?
Step 1: Find how many boxes one truck moves.
One truck = 48 ÷ 4 = 12 boxes
Step 2: Divide total boxes by boxes per truck.
Trucks needed = 840 ÷ 12 = 70 trucks
✔ Answer:
70.00 trucks
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Problem 4:
A factory can produce 60 TV in 7 days. How long does it take to finish 400 TVs?
Step 1: Find how many TVs per day.
TVs per day = 60 ÷ 7 ≈ 8.5714 TVs/day
Step 2: Divide total TVs by daily rate.
Days needed = 400 ÷ (60/7) = 400 × (7/60) = 2800 ÷ 60 ≈ 46.666... days
✔ Answer:
46.67 days (rounded to 2 decimal places)
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Problem 5:
500 lemons were packed in 8 boxes. How many lemons can be packed in 20 boxes?
Step 1: Find lemons per box.
Lemons per box = 500 ÷ 8 = 62.5
Step 2: Multiply by 20 boxes.
Total lemons = 62.5 × 20 = 1250
✔ Answer:
1250.00 lemons
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Problem 6:
A pack of four cans of coffee cost $10.90. How much would 17 cans of coffee cost?
Step 1: Find cost per can.
Cost per can = 10.90 ÷ 4 = $2.725
Step 2: Multiply by 17 cans.
Total cost = 2.725 × 17 = let’s calculate:
2.725 × 10 = 27.25
2.725 × 7 = 19.075
Add them: 27.25 + 19.075 = 46.325
✔ Answer:
$46.33 (rounded to 2 decimal places)
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Final Answer:
1. 612.50 km
2. 4977.50 gallons
3. 70.00 trucks
4. 46.67 days
5. 1250.00 lemons
6. $46.33
Parent Tip: Review the logic above to help your child master the concept of 6th grade proportions worksheet.
