Let’s solve each problem step by step, expressing ratios in lowest terms and proportions as fractions in simplest form.
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1) Balloons: Red vs. White
- Count the red balloons:
4
- Count the white balloons:
6
- Total balloons: 4 + 6 =
10
✔ Ratio of red to white = 4 : 6
→ Simplify by dividing both by 2 →
2 : 3
✔ Proportion of red = 4/10 → simplify by dividing numerator and denominator by 2 →
2/5
✔ Proportion of white = 6/10 → simplify →
3/5
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2) Rabbits vs. Foxes
- Count rabbits (gray):
8
- Count foxes (orange):
12
- Total animals: 8 + 12 =
20
✔ Ratio of rabbit to fox = 8 : 12
→ Simplify by dividing both by 4 →
2 : 3
✔ Proportion of rabbit = 8/20 → divide numerator and denominator by 4 →
2/5
✔ Proportion of fox = 12/20 → divide by 4 →
3/5
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3) Yellow fish vs. Black fish
- Count yellow fish:
9
- Count black fish:
6
- Total fish: 9 + 6 =
15
✔ Ratio of yellow to black = 9 : 6
→ Simplify by dividing both by 3 →
3 : 2
✔ Proportion of yellow = 9/15 → divide by 3 →
3/5
✔ Proportion of black = 6/15 → divide by 3 →
2/5
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4) Cars vs. Buses
- Count yellow cars:
10
- Count buses:
5
- Total vehicles: 10 + 5 =
15
✔ Ratio of car to bus = 10 : 5
→ Simplify by dividing both by 5 →
2 : 1
✔ Proportion of car = 10/15 → divide by 5 →
2/3
✔ Proportion of bus = 5/15 → divide by 5 →
1/3
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5) Blue triangles vs. White triangles
- Count blue triangles (solid):
10
- Count white triangles (outline):
8
- Total triangles: 10 + 8 =
18
✔ Ratio of blue to white = 10 : 8
→ Simplify by dividing both by 2 →
5 : 4
✔ Proportion of blue = 10/18 → divide by 2 →
5/9
✔ Proportion of white = 8/18 → divide by 2 →
4/9
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6) Odd vs. Even Numbers
List:
42, 35, 27, 24, 36, 61, 85, 40, 53, 76, 17, 49, 34, 51
Total numbers:
14
Now, identify odd and even:
-
Odd numbers: 35, 27, 61, 85, 53, 17, 49, 51 →
8 numbers
-
Even numbers: 42, 24, 36, 40, 76, 34 →
6 numbers
✔ Ratio of odd to even = 8 : 6
→ Simplify by dividing both by 2 →
4 : 3
✔ Proportion of odd numbers = 8/14 → divide by 2 →
4/7
✔ Proportion of even numbers = 6/14 → divide by 2 →
3/7
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##
✔ Final Answers:
1)
Ratio of 🟥 to ⚪ =
2 : 3
Proportion of 🟥 =
2/5
Proportion of ⚪ =
3/5
2)
Ratio of 🐇 to 🦊 =
2 : 3
Proportion of 🐇 =
2/5
Proportion of 🦊 =
3/5
3)
Ratio of 🐟 to 🐠 =
3 : 2
Proportion of 🐟 =
3/5
Proportion of 🐠 =
2/5
4)
Ratio of 🚗 to 🚌 =
2 : 1
Proportion of 🚗 =
2/3
Proportion of 🚌 =
1/3
5)
Ratio of 🔷 to △ =
5 : 4
Proportion of 🔷 =
5/9
Proportion of △ =
4/9
6)
Ratio of odd to even numbers =
4 : 3
Proportion of odd numbers =
4/7
Proportion of even numbers =
3/7
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Parent Tip: Review the logic above to help your child master the concept of ratio and proportion worksheet 6th grade.
