Grade 6 Proportions Word Problems Worksheet with real-world math scenarios.

I'll solve each proportion word problem step by step.

Problem 1: A car travels 120 miles in 3 hours. How long will it take to travel 200 miles?

Step 1: Find the speed (miles per hour)
- Speed = Distance ÷ Time
- Speed = 120 miles ÷ 3 hours = 40 miles per hour

Step 2: Find time for 200 miles
- Time = Distance ÷ Speed
- Time = 200 miles ÷ 40 mph = 5 hours

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

Step 1: Find the cost per apple
- Cost per apple = $25 ÷ 50 apples = $0.50 per apple

Step 2: Find cost of 75 apples
- Cost = 75 apples × $0.50 = $37.50

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

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

Step 2: Find time for 30 pages
- Time = 30 pages × 4.5 minutes = 135 minutes

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

Step 1: Find boxes packed per hour
- Boxes per hour = 25 boxes ÷ 2 hours = 12.5 boxes per hour

Step 2: Find boxes in 8 hours
- Boxes = 12.5 boxes/hour × 8 hours = 100 boxes

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

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

Step 2: Find weight of 35 bars
- Weight = 35 bars × 2 ounces = 70 ounces

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: Find production rate per minute
- Fabric per minute = 6 yards ÷ 2 minutes = 3 yards per minute

Step 2: Convert 1 hour to minutes
- 1 hour = 60 minutes

Step 3: Find fabric produced in 60 minutes
- Fabric = 3 yards/minute × 60 minutes = 180 yards

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