Let's go through each problem step by step to
verify the answers and
explain how to calculate the unit rate.
We are given a list of phrases, and for each one, we need to:
1. Express it as a
rate (a ratio of two quantities with different units).
2. Find the
unit rate, which is the rate per one unit of the second quantity.
- This means dividing the first quantity by the second quantity.
- Round the result to the nearest hundredth (two decimal places).
---
✔ Problem 1:
"11 batteries cost 27 dollars"
-
Rate: $ \frac{27\ \text{dollars}}{11\ \text{batteries}} $
-
Unit Rate: $ \frac{27}{11} = 2.4545... \approx 2.45 $ dollars per battery
✔ Correct
---
✔ Problem 2:
"mowed 3 yards for $40.00"
-
Rate: $ \frac{40\ \text{dollars}}{3\ \text{yards}} $
-
Unit Rate: $ \frac{40}{3} = 13.333... \approx 13.33 $ dollars per yard
✔ Correct
> Note: The phrase says "for $40.00", so it’s cost per yard. So yes, $13.33 per yard.
---
✔ Problem 3:
"100 miles on 6 gallons of gas"
-
Rate: $ \frac{100\ \text{miles}}{6\ \text{gallons}} $
-
Unit Rate: $ \frac{100}{6} = 16.666... \approx 16.67 $ miles per gallon
✔ Correct
---
✔ Problem 4:
"5 movie tickets cost $40.00"
-
Rate: $ \frac{40\ \text{dollars}}{5\ \text{tickets}} $
-
Unit Rate: $ \frac{40}{5} = 8.00 $ dollars per ticket
✔ Correct
---
✔ Problem 5:
"24 dollars for 6 books"
-
Rate: $ \frac{24\ \text{dollars}}{6\ \text{books}} $
-
Unit Rate: $ \frac{24}{6} = 4.00 $ dollars per book
✔ Correct
---
✔ Problem 6:
"9 dollars for 2 cans of tuna"
-
Rate: $ \frac{9\ \text{dollars}}{2\ \text{cans}} $
-
Unit Rate: $ \frac{9}{2} = 4.50 $ dollars per can
✔ Correct
---
✔ Problem 7:
"9 pencils for 14 dollars"
-
Rate: $ \frac{14\ \text{dollars}}{9\ \text{pencils}} $
-
Unit Rate: $ \frac{14}{9} = 1.555... \approx 1.56 $ dollars per pencil
✔ Correct
---
✔ Problem 8:
"6 calculators cost $200.00"
-
Rate: $ \frac{200\ \text{dollars}}{6\ \text{calculators}} $
-
Unit Rate: $ \frac{200}{6} = 33.333... \approx 33.33 $ dollars per calculator
✔ Correct
---
✔ Problem 9:
"15 chocolate bars cost 20 dollars"
-
Rate: $ \frac{20\ \text{dollars}}{15\ \text{chocolate bars}} $
-
Unit Rate: $ \frac{20}{15} = 1.333... \approx 1.33 $ dollars per bar
✔ Correct
---
✔ Problem 10:
"10 inches of snow in 4 hours"
-
Rate: $ \frac{10\ \text{inches}}{4\ \text{hours}} $
-
Unit Rate: $ \frac{10}{4} = 2.5 $ inches per hour → $ 2.50 $ inches per hour
✔ Correct
---
🔍 Summary:
All the
unit rates listed in the worksheet are
correctly calculated and
properly rounded to the nearest hundredth.
---
✔ Final Answer:
All answers provided in the worksheet are
correct.
| Problem | Unit Rate (Answer) |
|--------|---------------------|
| 1 | 2.45 dollars per battery |
| 2 | 13.33 dollars per yard |
| 3 | 16.67 miles per gallon |
| 4 | 8.00 dollars per movie ticket |
| 5 | 4.00 dollars per book |
| 6 | 4.50 dollars per can |
| 7 | 1.56 dollars per pencil |
| 8 | 33.33 dollars per calculator |
| 9 | 1.33 dollars per chocolate bar |
| 10 | 2.50 inches of snow per hour |
✔ All correct!
Let me know if you'd like this turned into a printable answer key or explanation sheet!
Parent Tip: Review the logic above to help your child master the concept of ratios and rates worksheet.
