Let's solve each of these
unit rate problems step by step. A
unit rate is a rate where the second quantity (the denominator) is 1. So, we want to find how much of the first quantity occurs
per one unit of the second.
We'll divide the first number by the second to get the unit rate.
---
1. 25 goals in 50 games
$$
\frac{25}{50} = 0.5 \text{ goals per game}
$$
✔ Answer: 0.5 goals per game
---
2. $100 for 4 hours of work
$$
\frac{100}{4} = 25 \text{ dollars per hour}
$$
✔ Answer: $25 per hour
---
3. 60 calls in 12 hours
$$
\frac{60}{12} = 5 \text{ calls per hour}
$$
✔ Answer: 5 calls per hour
---
4. 32 eggs every 16 days
$$
\frac{32}{16} = 2 \text{ eggs per day}
$$
✔ Answer: 2 eggs per day
---
5. 120 flights per 4 hours
$$
\frac{120}{4} = 30 \text{ flights per hour}
$$
✔ Answer: 30 flights per hour
---
6. 350 students in 7 groups
$$
\frac{350}{7} = 50 \text{ students per group}
$$
✔ Answer: 50 students per group
---
7. 800 words per 4 minutes
$$
\frac{800}{4} = 200 \text{ words per minute}
$$
✔ Answer: 200 words per minute
---
8. 180 ml of rain in 3 hours
$$
\frac{180}{3} = 60 \text{ ml per hour}
$$
✔ Answer: 60 ml per hour
---
9. 180 seats in 9 rows
$$
\frac{180}{9} = 20 \text{ seats per row}
$$
✔ Answer: 20 seats per row
---
10. 250 miles on 5 gallons of gas
$$
\frac{250}{5} = 50 \text{ miles per gallon}
$$
✔ Answer: 50 miles per gallon
---
11. 147 kilometers in 7 hours
$$
\frac{147}{7} = 21 \text{ km per hour}
$$
✔ Answer: 21 km/h
---
12. 625 meters in 25 seconds
$$
\frac{625}{25} = 25 \text{ meters per second}
$$
✔ Answer: 25 m/s
---
13. 60 calls in 12 hours
(This is repeated from #3)
$$
\frac{60}{12} = 5 \text{ calls per hour}
$$
✔ Answer: 5 calls per hour
---
14. 200 pages in 5 days
$$
\frac{200}{5} = 40 \text{ pages per day}
$$
✔ Answer: 40 pages per day
---
✔ Final Answers:
| Problem | Unit Rate |
|--------|-----------|
| 1. 25 goals in 50 games | 0.5 goals/game |
| 2. $100 for 4 hours | $25/hour |
| 3. 60 calls in 12 hours | 5 calls/hour |
| 4. 32 eggs in 16 days | 2 eggs/day |
| 5. 120 flights in 4 hours | 30 flights/hour |
| 6. 350 students in 7 groups | 50 students/group |
| 7. 800 words in 4 minutes | 200 words/minute |
| 8. 180 ml in 3 hours | 60 ml/hour |
| 9. 180 seats in 9 rows | 20 seats/row |
| 10. 250 miles on 5 gallons | 50 miles/gallon |
| 11. 147 km in 7 hours | 21 km/hour |
| 12. 625 meters in 25 seconds | 25 m/second |
| 13. 60 calls in 12 hours | 5 calls/hour |
| 14. 200 pages in 5 days | 40 pages/day |
---
🔍 How to Solve Unit Rates:
To find a
unit rate, always divide the
first quantity by the
second quantity so that the result represents
how much per one unit of the second.
For example:
- "60 calls in 12 hours" → $ \frac{60}{12} = 5 $ calls per hour.
- "250 miles on 5 gallons" → $ \frac{250}{5} = 50 $ miles per gallon.
This method works for all types of rates: speed, cost, productivity, etc.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of unit rate 7th grade worksheet.