Creating Equivalent Ratios (B) Worksheet | 6th Grade PDF Worksheets - Free Printable
Educational worksheet: Creating Equivalent Ratios (B) Worksheet | 6th Grade PDF Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Creating Equivalent Ratios (B) Worksheet | 6th Grade PDF Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Creating Equivalent Ratios (B) Worksheet | 6th Grade PDF Worksheets
Absolutely! Let’s solve this worksheet step by step. The task is: “Divide each amount into the given ratios.”
---
The example shows the method clearly:
> For $24 in the ratio 2:10:
> - Add the parts of the ratio: 2 + 10 = 12 parts
> - Divide total amount by total parts: $24 ÷ 12 = $2 per part
> - Multiply each part of the ratio by this value:
> - 2 × $2 = $4
> - 10 × $2 = $20
> - Answer: $4 : $20
We’ll apply this same method to every problem.
---
## 📊 SECTION A: SOLVED PROBLEMS
---
| Ratio | Work | Answer |
|-------|------|--------|
| 2:10 | 2+10=12; 24÷12=2; 2×2=4, 10×2=20 | $4 : $20 |
| 5:7 | 5+7=12; 24÷12=2; 5×2=10, 7×2=14 | $10 : $14 |
| 3:9 | 3+9=12; 24÷12=2; 3×2=6, 9×2=18 | $6 : $18 |
| 4:8 | 4+8=12; 24÷12=2; 4×2=8, 8×2=16 | $8 : $16 |
| 11:1 | 11+1=12; 24÷12=2; 11×2=22, 1×2=2 | $22 : $2 |
---
| Ratio | Work | Answer |
|-------|------|--------|
| 7:3 | 7+3=10; 50÷10=5; 7×5=35, 3×5=15 | $35 : $15 |
| 4:6 | 4+6=10; 50÷10=5; 4×5=20, 6×5=30 | $20 : $30 |
| 5:5 | 5+5=10; 50÷10=5; 5×5=25, 5×5=25 | $25 : $25 |
| 8:2 | 8+2=10; 50÷10=5; 8×5=40, 2×5=10 | $40 : $10 |
| 1:9 | 1+9=10; 50÷10=5; 1×5=5, 9×5=45 | $5 : $45 |
---
| Ratio | Work | Answer |
|-------|------|--------|
| 5:3 | 5+3=8; 48÷8=6; 5×6=30, 3×6=18 | $30 : $18 |
| 7:1 | 7+1=8; 48÷8=6; 7×6=42, 1×6=6 | $42 : $6 |
| 6:2 | 6+2=8; 48÷8=6; 6×6=36, 2×6=12 | $36 : $12 |
| 4:4 | 4+4=8; 48÷8=6; 4×6=24, 4×6=24 | $24 : $24 |
| 0:8 | 0+8=8; 48÷8=6; 0×6=0, 8×6=48 | $0 : $48 |
> ⚠️ Note: 0:8 means one part gets nothing, the other gets everything.
---
| Ratio | Work | Answer |
|-------|------|--------|
| 8:1 | 8+1=9; 45÷9=5; 8×5=40, 1×5=5 | $40 : $5 |
| 7:2 | 7+2=9; 45÷9=5; 7×5=35, 2×5=10 | $35 : $10 |
| 4:5 | 4+5=9; 45÷9=5; 4×5=20, 5×5=25 | $20 : $25 |
| 6:3 | 6+3=9; 45÷9=5; 6×5=30, 3×5=15 | $30 : $15 |
| 9:0 | 9+0=9; 45÷9=5; 9×5=45, 0×5=0 | $45 : $0 |
> ⚠️ Note: 9:0 means all goes to first part.
---
| Ratio | Work | Answer |
|-------|------|--------|
| 22:3 | 22+3=25; 100÷25=4; 22×4=88, 3×4=12 | $88 : $12 |
| 11:14 | 11+14=25; 100÷25=4; 11×4=44, 14×4=56 | $44 : $56 |
| 1:24 | 1+24=25; 100÷25=4; 1×4=4, 24×4=96 | $4 : $96 |
| 9:16 | 9+16=25; 100÷25=4; 9×4=36, 16×4=64 | $36 : $64 |
| 10:15 | 10+15=25; 100÷25=4; 10×4=40, 15×4=60 | $40 : $60 |
---
| Ratio | Work | Answer |
|-------|------|--------|
| 10:1 | 10+1=11; 66÷11=6; 10×6=60, 1×6=6 | $60 : $6 |
| 2:9 | 2+9=11; 66÷11=6; 2×6=12, 9×6=54 | $12 : $54 |
| 6:5 | 6+5=11; 66÷11=6; 6×6=36, 5×6=30 | $36 : $30 |
| 3:8 | 3+8=11; 66÷11=6; 3×6=18, 8×6=48 | $18 : $48 |
| 7:4 | 7+4=11; 66÷11=6; 7×6=42, 4×6=24 | $42 : $24 |
---
| Ratio | Work | Answer |
|-------|------|--------|
| 9:1 | 9+1=10; 250÷10=25; 9×25=225, 1×25=25 | $225 : $25 |
| 4:6 | 4+6=10; 250÷10=25; 4×25=100, 6×25=150 | $100 : $150 |
| 3:7 | 3+7=10; 250÷10=25; 3×25=75, 7×25=175 | $75 : $175 |
| 8:2 | 8+2=10; 250÷10=25; 8×25=200, 2×25=50 | $200 : $50 |
| 5:5 | 5+5=10; 250÷10=25; 5×25=125, 5×25=125 | $125 : $125 |
---
| Ratio | Work | Answer |
|-------|------|--------|
| 3:10 | 3+10=13; 52÷13=4; 3×4=12, 10×4=40 | $12 : $40 |
| 6:7 | 6+7=13; 52÷13=4; 6×4=24, 7×4=28 | $24 : $28 |
| 1:12 | 1+12=13; 52÷13=4; 1×4=4, 12×4=48 | $4 : $48 |
| 4:9 | 4+9=13; 52÷13=4; 4×4=16, 9×4=36 | $16 : $36 |
| 5:8 | 5+8=13; 52÷13=4; 5×4=20, 8×4=32 | $20 : $32 |
---
## ✔ Final Notes:
- Always add the parts of the ratio to find total parts.
- Divide total amount by total parts → gives value per part.
- Multiply each part of the ratio by this value → gives actual amounts.
- Ratios like `a:0` or `0:b` are valid — they mean all money goes to one side.
---
You can now fill in your worksheet with these answers! 😊
Let me know if you’d like a printable version or explanations for specific problems.
---
✔ How to Solve:
The example shows the method clearly:
> For $24 in the ratio 2:10:
> - Add the parts of the ratio: 2 + 10 = 12 parts
> - Divide total amount by total parts: $24 ÷ 12 = $2 per part
> - Multiply each part of the ratio by this value:
> - 2 × $2 = $4
> - 10 × $2 = $20
> - Answer: $4 : $20
We’ll apply this same method to every problem.
---
## 📊 SECTION A: SOLVED PROBLEMS
---
💵 $24
| Ratio | Work | Answer |
|-------|------|--------|
| 2:10 | 2+10=12; 24÷12=2; 2×2=4, 10×2=20 | $4 : $20 |
| 5:7 | 5+7=12; 24÷12=2; 5×2=10, 7×2=14 | $10 : $14 |
| 3:9 | 3+9=12; 24÷12=2; 3×2=6, 9×2=18 | $6 : $18 |
| 4:8 | 4+8=12; 24÷12=2; 4×2=8, 8×2=16 | $8 : $16 |
| 11:1 | 11+1=12; 24÷12=2; 11×2=22, 1×2=2 | $22 : $2 |
---
💵 $50
| Ratio | Work | Answer |
|-------|------|--------|
| 7:3 | 7+3=10; 50÷10=5; 7×5=35, 3×5=15 | $35 : $15 |
| 4:6 | 4+6=10; 50÷10=5; 4×5=20, 6×5=30 | $20 : $30 |
| 5:5 | 5+5=10; 50÷10=5; 5×5=25, 5×5=25 | $25 : $25 |
| 8:2 | 8+2=10; 50÷10=5; 8×5=40, 2×5=10 | $40 : $10 |
| 1:9 | 1+9=10; 50÷10=5; 1×5=5, 9×5=45 | $5 : $45 |
---
💵 $48
| Ratio | Work | Answer |
|-------|------|--------|
| 5:3 | 5+3=8; 48÷8=6; 5×6=30, 3×6=18 | $30 : $18 |
| 7:1 | 7+1=8; 48÷8=6; 7×6=42, 1×6=6 | $42 : $6 |
| 6:2 | 6+2=8; 48÷8=6; 6×6=36, 2×6=12 | $36 : $12 |
| 4:4 | 4+4=8; 48÷8=6; 4×6=24, 4×6=24 | $24 : $24 |
| 0:8 | 0+8=8; 48÷8=6; 0×6=0, 8×6=48 | $0 : $48 |
> ⚠️ Note: 0:8 means one part gets nothing, the other gets everything.
---
💵 $45
| Ratio | Work | Answer |
|-------|------|--------|
| 8:1 | 8+1=9; 45÷9=5; 8×5=40, 1×5=5 | $40 : $5 |
| 7:2 | 7+2=9; 45÷9=5; 7×5=35, 2×5=10 | $35 : $10 |
| 4:5 | 4+5=9; 45÷9=5; 4×5=20, 5×5=25 | $20 : $25 |
| 6:3 | 6+3=9; 45÷9=5; 6×5=30, 3×5=15 | $30 : $15 |
| 9:0 | 9+0=9; 45÷9=5; 9×5=45, 0×5=0 | $45 : $0 |
> ⚠️ Note: 9:0 means all goes to first part.
---
💵 $100
| Ratio | Work | Answer |
|-------|------|--------|
| 22:3 | 22+3=25; 100÷25=4; 22×4=88, 3×4=12 | $88 : $12 |
| 11:14 | 11+14=25; 100÷25=4; 11×4=44, 14×4=56 | $44 : $56 |
| 1:24 | 1+24=25; 100÷25=4; 1×4=4, 24×4=96 | $4 : $96 |
| 9:16 | 9+16=25; 100÷25=4; 9×4=36, 16×4=64 | $36 : $64 |
| 10:15 | 10+15=25; 100÷25=4; 10×4=40, 15×4=60 | $40 : $60 |
---
💵 $66
| Ratio | Work | Answer |
|-------|------|--------|
| 10:1 | 10+1=11; 66÷11=6; 10×6=60, 1×6=6 | $60 : $6 |
| 2:9 | 2+9=11; 66÷11=6; 2×6=12, 9×6=54 | $12 : $54 |
| 6:5 | 6+5=11; 66÷11=6; 6×6=36, 5×6=30 | $36 : $30 |
| 3:8 | 3+8=11; 66÷11=6; 3×6=18, 8×6=48 | $18 : $48 |
| 7:4 | 7+4=11; 66÷11=6; 7×6=42, 4×6=24 | $42 : $24 |
---
💵 $250
| Ratio | Work | Answer |
|-------|------|--------|
| 9:1 | 9+1=10; 250÷10=25; 9×25=225, 1×25=25 | $225 : $25 |
| 4:6 | 4+6=10; 250÷10=25; 4×25=100, 6×25=150 | $100 : $150 |
| 3:7 | 3+7=10; 250÷10=25; 3×25=75, 7×25=175 | $75 : $175 |
| 8:2 | 8+2=10; 250÷10=25; 8×25=200, 2×25=50 | $200 : $50 |
| 5:5 | 5+5=10; 250÷10=25; 5×25=125, 5×25=125 | $125 : $125 |
---
💵 $52
| Ratio | Work | Answer |
|-------|------|--------|
| 3:10 | 3+10=13; 52÷13=4; 3×4=12, 10×4=40 | $12 : $40 |
| 6:7 | 6+7=13; 52÷13=4; 6×4=24, 7×4=28 | $24 : $28 |
| 1:12 | 1+12=13; 52÷13=4; 1×4=4, 12×4=48 | $4 : $48 |
| 4:9 | 4+9=13; 52÷13=4; 4×4=16, 9×4=36 | $16 : $36 |
| 5:8 | 5+8=13; 52÷13=4; 5×4=20, 8×4=32 | $20 : $32 |
---
## ✔ Final Notes:
- Always add the parts of the ratio to find total parts.
- Divide total amount by total parts → gives value per part.
- Multiply each part of the ratio by this value → gives actual amounts.
- Ratios like `a:0` or `0:b` are valid — they mean all money goes to one side.
---
You can now fill in your worksheet with these answers! 😊
Let me know if you’d like a printable version or explanations for specific problems.
Parent Tip: Review the logic above to help your child master the concept of equivalent proportions worksheet.
