Let's solve each problem step by step. We are asked to find the
rate and
unit rate for each situation.
---
What is a Rate?
A
rate is a comparison of two quantities with different units (e.g., inches per day, dollars per book).
What is a Unit Rate?
A
unit rate is a rate where the second quantity is 1 unit (e.g., inches per 1 day, dollars per 1 book). It tells us how much of one quantity corresponds to one unit of another.
---
We'll go through each problem:
---
1) 80 inches of snow over 10 days
-
Rate: 80 inches / 10 days
-
Unit Rate: Divide both by 10 → 8 inches / 1 day
✔ Answer:
-
Rate: 80 inches per 10 days
-
Unit Rate: 8 inches per day
---
2) 3 comic books for 3 dollars
-
Rate: 3 comic books / 3 dollars
-
Unit Rate: Divide both by 3 → 1 comic book / 1 dollar
✔ Answer:
-
Rate: 3 comic books per 3 dollars
-
Unit Rate: 1 comic book per dollar
---
3) 5 pounds of potatoes cost $10
-
Rate: 5 pounds / $10
-
Unit Rate: Divide both by 5 → 1 pound / $2
✔ Answer:
-
Rate: 5 pounds per $10
-
Unit Rate: $2 per pound (or 1 pound per $2 — depending on convention)
> Usually, we express unit rate as
cost per unit, so:
> -
Unit Rate: $2 per pound
✔ Answer:
-
Rate: 5 pounds per $10
-
Unit Rate: $2 per pound
---
4) 20 chairs in 2 rows
-
Rate: 20 chairs / 2 rows
-
Unit Rate: Divide both by 2 → 10 chairs / 1 row
✔ Answer:
-
Rate: 20 chairs per 2 rows
-
Unit Rate: 10 chairs per row
---
5) 63 pouches in 7 bowls
-
Rate: 63 pouches / 7 bowls
-
Unit Rate: Divide both by 7 → 9 pouches / 1 bowl
✔ Answer:
-
Rate: 63 pouches per 7 bowls
-
Unit Rate: 9 pouches per bowl
---
6) 480 hours of work in 12 weeks
-
Rate: 480 hours / 12 weeks
-
Unit Rate: Divide both by 12 → 40 hours / 1 week
✔ Answer:
-
Rate: 480 hours per 12 weeks
-
Unit Rate: 40 hours per week
---
✔ Final Answers:
| Problem | Rate | Unit Rate |
|--------|------|-----------|
| 1) | 80 inches per 10 days | 8 inches per day |
| 2) | 3 comic books per 3 dollars | 1 comic book per dollar |
| 3) | 5 pounds per $10 | $2 per pound |
| 4) | 20 chairs per 2 rows | 10 chairs per row |
| 5) | 63 pouches per 7 bowls | 9 pouches per bowl |
| 6) | 480 hours per 12 weeks | 40 hours per week |
---
Let me know if you'd like this formatted as a printable worksheet or need explanations in simpler terms!
Parent Tip: Review the logic above to help your child master the concept of unit rate 6th grade worksheet.
