Sure! Let’s solve each problem step by step.
---
Goal:
For each phrase, write:
-
Rate: The ratio as given (e.g., 6 dollars for 2 cans → 6:2 or 6/2)
-
Unit Rate: The rate per *one* unit of the second item (e.g., cost per 1 can, miles per 1 gallon, etc.), rounded to the nearest hundredth.
---
1) 6 dollars for 2 cans of tuna
-
Rate: 6 dollars / 2 cans →
6:2 or
6/2
-
Unit Rate: 6 ÷ 2 =
3.00 dollars per can
✔ Rate: 6/2
✔ Unit Rate: 3.00
---
2) 13 chocolate bars cost 21 dollars
-
Rate: 21 dollars / 13 bars →
21:13 or
21/13
-
Unit Rate: 21 ÷ 13 ≈ 1.615 →
1.62 dollars per bar
✔ Rate: 21/13
✔ Unit Rate: 1.62
---
3) 13 dollars for 4 books
-
Rate: 13 dollars / 4 books →
13:4 or
13/4
-
Unit Rate: 13 ÷ 4 =
3.25 dollars per book
✔ Rate: 13/4
✔ Unit Rate: 3.25
---
4) mowed 5 yards for $35.00
-
Rate: 35 dollars / 5 yards →
35:5 or
35/5
-
Unit Rate: 35 ÷ 5 =
7.00 dollars per yard
✔ Rate: 35/5
✔ Unit Rate: 7.00
---
5) 145 miles on 9 gallons of gas
-
Rate: 145 miles / 9 gallons →
145:9 or
145/9
-
Unit Rate: 145 ÷ 9 ≈ 16.111 →
16.11 miles per gallon
✔ Rate: 145/9
✔ Unit Rate: 16.11
---
6) 12 batteries cost 20 dollars
-
Rate: 20 dollars / 12 batteries →
20:12 or
20/12
-
Unit Rate: 20 ÷ 12 ≈ 1.666 →
1.67 dollars per battery
✔ Rate: 20/12
✔ Unit Rate: 1.67
---
7) 7 calculators cost $190.00
-
Rate: 190 dollars / 7 calculators →
190:7 or
190/7
-
Unit Rate: 190 ÷ 7 ≈ 27.142 →
27.14 dollars per calculator
✔ Rate: 190/7
✔ Unit Rate: 27.14
---
8) 7 inches of snow in 6 hours
-
Rate: 7 inches / 6 hours →
7:6 or
7/6
-
Unit Rate: 7 ÷ 6 ≈ 1.166 →
1.17 inches per hour
✔ Rate: 7/6
✔ Unit Rate: 1.17
---
9) 7 movie tickets cost $25.00
-
Rate: 25 dollars / 7 tickets →
25:7 or
25/7
-
Unit Rate: 25 ÷ 7 ≈ 3.571 →
3.57 dollars per ticket
✔ Rate: 25/7
✔ Unit Rate: 3.57
---
10) 8 pencils for 14 dollars
-
Rate: 14 dollars / 8 pencils →
14:8 or
14/8
-
Unit Rate: 14 ÷ 8 =
1.75 dollars per pencil
✔ Rate: 14/8
✔ Unit Rate: 1.75
---
##
✔ Final Answers Summary:
| # | Rate | Unit Rate |
|---|----------|-----------|
| 1 | 6/2 | 3.00 |
| 2 | 21/13 | 1.62 |
| 3 | 13/4 | 3.25 |
| 4 | 35/5 | 7.00 |
| 5 | 145/9 | 16.11 |
| 6 | 20/12 | 1.67 |
| 7 | 190/7 | 27.14 |
| 8 | 7/6 | 1.17 |
| 9 | 25/7 | 3.57 |
|10 | 14/8 | 1.75 |
---
Let me know if you’d like this formatted as a printable answer key or need explanations for any specific one!
Parent Tip: Review the logic above to help your child master the concept of ratio maths worksheet.
