Let's solve each problem step by step from
Ratio and Proportion Sheet 4. We’ll find the
ratio in lowest terms and the
proportion (fraction) of each object relative to the whole.
---
1) Balloons
Image:
Red balloons: 4
White balloons: 5
Total = 4 + 5 = 9
-
Ratio of red to white = 4 : 5
→ Already in lowest terms.
-
Proportion of red = $ \frac{4}{9} $
-
Proportion of white = $ \frac{5}{9} $
✔ Answer:
- Ratio:
4 : 5
- Proportion of red:
$ \frac{4}{9} $
- Proportion of white:
$ \frac{5}{9} $
---
2) Rabbits and Foxes
Image:
Rabbits (gray): 7
Foxes (orange): 8
Total = 7 + 8 = 15
-
Ratio of rabbits to foxes = 7 : 8
→ Already in lowest terms.
-
Proportion of rabbits = $ \frac{7}{15} $
-
Proportion of foxes = $ \frac{8}{15} $
✔ Answer:
- Ratio:
7 : 8
- Proportion of rabbits:
$ \frac{7}{15} $
- Proportion of foxes:
$ \frac{8}{15} $
---
3) Butterflies
Image:
Yellow butterflies: 6
Black butterflies: 8
Total = 6 + 8 = 14
-
Ratio of yellow to black = 6 : 8
→ Simplify: divide both by 2 →
3 : 4
-
Proportion of yellow = $ \frac{6}{14} = \frac{3}{7} $
-
Proportion of black = $ \frac{8}{14} = \frac{4}{7} $
✔ Answer:
- Ratio:
3 : 4
- Proportion of yellow:
$ \frac{3}{7} $
- Proportion of black:
$ \frac{4}{7} $
---
4) Cars and Buses
Image:
Cars (yellow): 7
Buses (black): 4
Total = 7 + 4 = 11
-
Ratio of cars to buses = 7 : 4
→ Already in lowest terms.
-
Proportion of cars = $ \frac{7}{11} $
-
Proportion of buses = $ \frac{4}{11} $
✔ Answer:
- Ratio:
7 : 4
- Proportion of cars:
$ \frac{7}{11} $
- Proportion of buses:
$ \frac{4}{11} $
---
5) Triangles
Image:
Blue triangles: 8
White triangles: 7
Total = 8 + 7 = 15
-
Ratio of blue to white = 8 : 7
→ Already in lowest terms.
-
Proportion of blue = $ \frac{8}{15} $
-
Proportion of white = $ \frac{7}{15} $
✔ Answer:
- Ratio:
8 : 7
- Proportion of blue:
$ \frac{8}{15} $
- Proportion of white:
$ \frac{7}{15} $
---
6) Numbers List
List:
42, 35, 27, 24, 36, 61, 85, 40, 53, 76, 17, 49, 34, 51
Step 1: Count odd and even numbers
- Even numbers: divisible by 2 → ends in 0,2,4,6,8
- 42, 24, 36, 40, 76, 34 →
6 even numbers
- Odd numbers: not divisible by 2
- 35, 27, 61, 85, 53, 17, 49, 51 →
8 odd numbers
Total numbers = 6 + 8 = 14
-
Ratio of odd to even = 8 : 6 → simplify by dividing by 2 →
4 : 3
-
Proportion of odd numbers = $ \frac{8}{14} = \frac{4}{7} $
-
Proportion of even numbers = $ \frac{6}{14} = \frac{3}{7} $
✔ Answer:
- Ratio of odd to even:
4 : 3
- Proportion of odd:
$ \frac{4}{7} $
- Proportion of even:
$ \frac{3}{7} $
---
✔ Final Answers Summary:
| Problem | Ratio | Proportion A | Proportion B |
|--------|-------|--------------|--------------|
| 1) | 4 : 5 | $ \frac{4}{9} $ | $ \frac{5}{9} $ |
| 2) | 7 : 8 | $ \frac{7}{15} $ | $ \frac{8}{15} $ |
| 3) | 3 : 4 | $ \frac{3}{7} $ | $ \frac{4}{7} $ |
| 4) | 7 : 4 | $ \frac{7}{11} $ | $ \frac{4}{11} $ |
| 5) | 8 : 7 | $ \frac{8}{15} $ | $ \frac{7}{15} $ |
| 6) | 4 : 3 | $ \frac{4}{7} $ | $ \frac{3}{7} $ |
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 ratio and proportion printable worksheet.
