Grade 6 proportions word problems worksheet with real-world math scenarios.

Let’s solve each problem one by one, step by step.

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Problem 1: A car travels 120 miles in 3 hours (with a constant speed). How long will it take to travel 200 miles?

Step 1: Find the speed of the car.
Speed = Distance ÷ Time
→ 120 miles ÷ 3 hours = 40 miles per hour

Step 2: Now find how long it takes to go 200 miles at 40 mph.
Time = Distance ÷ Speed
→ 200 miles ÷ 40 mph = 5 hours

✔ Check: 40 mph × 5 hours = 200 miles → Correct!

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Problem 2: 50 apples cost $25. How much would 75 apples cost?

Step 1: Find the cost of one apple.
$25 ÷ 50 apples = $0.50 per apple

Step 2: Multiply by 75 apples.
75 × $0.50 = $37.50

✔ Check: 50 apples = $25 → 75 is 1.5 times more → $25 × 1.5 = $37.50 → Correct!

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Problem 3: It takes Mike 18 minutes to finish reading 4 pages of a book. How long does it take for him to finish reading 30 pages?

Step 1: Find time per page.
18 minutes ÷ 4 pages = 4.5 minutes per page

Step 2: Multiply by 30 pages.
30 × 4.5 = 135 minutes

✔ Check: 4 pages → 18 min → 30 pages is 7.5 times more → 18 × 7.5 = 135 → Correct!

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Problem 4: Nathan packs 25 boxes in 2 hours. How many boxes can he pack in his 8-hour shift?

Step 1: Find how many boxes per hour.
25 boxes ÷ 2 hours = 12.5 boxes per hour

Step 2: Multiply by 8 hours.
12.5 × 8 = 100 boxes

✔ Check: 2 hours → 25 boxes → 8 hours is 4 times longer → 25 × 4 = 100 → Correct!

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Problem 5: 13 candy bars weigh 26 ounces. What is the weight of 35 candy bars?

Step 1: Find weight per candy bar.
26 ounces ÷ 13 bars = 2 ounces per bar

Step 2: Multiply by 35 bars.
35 × 2 = 70 ounces

✔ Check: 13 bars = 26 oz → 35 bars is about 2.69 times more → 26 × 2.69 ≈ 70 → Correct!

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Problem 6: A machine can produce 6 yards of fabric in 2 minutes. How much fabric can the machine produce in 1 hour?

Step 1: Convert 1 hour to minutes → 60 minutes.

Step 2: Find production per minute.
6 yards ÷ 2 minutes = 3 yards per minute

Step 3: Multiply by 60 minutes.
3 × 60 = 180 yards

✔ Check: 2 minutes → 6 yards → 60 minutes is 30 times longer → 6 × 30 = 180 → Correct!

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Final Answer:
1. 5 hours
2. $37.50
3. 135 minutes
4. 100 boxes
5. 70 ounces
6. 180 yards