Let’s solve each problem one by one using the double number line method. We’ll match up the ratios and find the missing value.
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Problem 1:
For every 6 boxes → 4 points
You sold 42 boxes → ? points
Look at the number line:
Boxes go: 0, 6, 12, 18, 24, 30, 36,
42
Points go: 0, 4, 8, 12, 16, 20, 24,
28
So when boxes = 42, points =
28
✔ Answer:
28
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Problem 2:
9 cans → 2 cents
18 cans → ? cents
Number line:
Cans: 0, 9,
18
Money: 0, 2,
4
So 18 cans =
4 cents
✔ Answer:
4
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Problem 3:
2 bags → $3
8 bags → ? dollars
Cashews (bags): 0, 2, 4, 6,
8
Price: 0, 3, 6, 9,
12
So 8 bags cost
$12
✔ Answer:
12
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Problem 4:
8 batches → 4 cups oil
40 batches → ? cups oil
Popcorn (batches): 0, 8, 16, 24, 32,
40
Oil: 0, 4, 8, 12, 16,
20
So 40 batches need
20 cups of oil
✔ Answer:
20
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Problem 5:
8 enemies → 9 points
56 enemies → ? points
Enemies: 0, 8, 16, 24, 32, 40, 48,
56
Points: 0, 9, 18, 27, 36, 45, 54,
63
So 56 enemies =
63 points
✔ Answer:
63
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Problem 6:
Boys : Girls = 6 : 2
60 boys → ? girls
Boys: 0, 6, 12, ..., 60 (that’s 10 steps of 6)
Girls: 0, 2, 4, ..., so 10 steps of 2 =
20
Or look at number line:
Boys end at 60 → Girls end at
20
✔ Answer:
20
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Problem 7:
Cherry : Lemon = 2 : 6
Lemon = 36 → Cherry = ?
Lemon pieces: 0, 6, 12, 18, 24, 30,
36
Cherry pieces: 0, 2, 4, 6, 8, 10,
12
So 36 lemon pieces →
12 cherry pieces
✔ Answer:
12
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Problem 8:
2 sheets → $9
20 sheets → ? dollars
Sheetrock: 0, 2, 4, ..., 20 (10 steps)
Price: 0, 9, 18, ..., 9×10 =
90
Number line shows price ends at
90
✔ Answer:
90
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Final Answer:
1. 28
2. 4
3. 12
4. 20
5. 63
6. 20
7. 12
8. 90
Parent Tip: Review the logic above to help your child master the concept of double number line worksheet.
