Let’s solve each problem one by one using double number lines. We’ll match the two quantities and find the missing value by scaling up or down.
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Problem 1:
A builder could get 6 sheets of sheetrock for $9. If he bought 12 sheets, how much money would he have spent?
- 6 sheets → $9
- 12 sheets → ?
Since 12 is double 6, we double $9 → $18
✔ Answer:
$18
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Problem 2:
A sloppy joe restaurant gave 3 napkins for every 7 items ordered. If someone bought 14 items, how many napkins should they get?
- 7 items → 3 napkins
- 14 items → ?
14 is double 7 → so double 3 napkins = 6 napkins
✔ Answer:
6 napkins
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Problem 3:
In a video game, for every 6 enemies defeated, you earned 3 points. If you defeated 48 enemies, how many points would you have earned?
- 6 enemies → 3 points
- 48 enemies → ?
How many times does 6 go into 48? 48 ÷ 6 = 8
So multiply points by 8: 3 × 8 = 24 points
✔ Answer:
24 points
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Problem 4:
At a school fundraiser, for every 9 boxes of chocolate sold, you earn 5 points. If you were to sell 72 boxes, how many points would you have earned?
- 9 boxes → 5 points
- 72 boxes → ?
72 ÷ 9 = 8
So 5 × 8 = 40 points
✔ Answer:
40 points
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Problem 5:
A recipe calls for 5 teaspoons of seasoning for 6 batches of chicken. If you have 12 batches of chicken, how many teaspoons of seasoning will you need?
- 6 batches → 5 tsp
- 12 batches → ?
12 is double 6 → so double 5 tsp = 10 tsp
✔ Answer:
10 teaspoons
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Problem 6:
A box of candy had 4 cherry pieces for every 9 lemon pieces. If the box had 45 lemon pieces, how many cherry pieces would there be?
- 9 lemon → 4 cherry
- 45 lemon → ?
45 ÷ 9 = 5
So 4 × 5 = 20 cherry pieces
✔ Answer:
20 cherry pieces
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Problem 7:
For every 6 cans Oliver collected for recycling, he earned 9 cents. After he collected 60 cans, how much money would he have earned?
- 6 cans → 9 cents
- 60 cans → ?
60 ÷ 6 = 10
So 9 × 10 = 90 cents
✔ Answer:
90 cents
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Problem 8:
The ratio of boys to girls at the park was 9 to 6. If there were 45 boys, how many girls were there?
- 9 boys → 6 girls
- 45 boys → ?
45 ÷ 9 = 5
So 6 × 5 = 30 girls
✔ Answer:
30 girls
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Final Answer:
1. $18
2. 6 napkins
3. 24 points
4. 40 points
5. 10 teaspoons
6. 20 cherry pieces
7. 90 cents
8. 30 girls
Parent Tip: Review the logic above to help your child master the concept of double line diagrams ratios worksheet.
![Solve Ratio Problems Using Double Number Lines Worksheets [PDF] (6 ...](/images2/double-line-diagrams-ratios-worksheet/double-line-diagrams-ratios-worksheet-6.png)
