Explanation:
We need to find the missing values in each ratio table by using the idea that ratios stay the same — meaning the relationship between the two numbers is constant. We’ll go one problem at a time.
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Problem 6:
Boys : Girls = 1 : 5
We see that when Boys = 1, Girls = 5. So the ratio is 1/5.
Next column: Girls = 10 → How many Boys?
Since 5 girls correspond to 1 boy, then 10 girls = 2 × 5 girls → so boys = 2 × 1 =
2.
So missing value =
2.
Equivalent ratios: 1:5 and 2:10 (both simplify to 1:5).
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Problem 7:
Violins : Cellos = 8 : 3
Given: Violins = 24 → how many Cellos?
24 is 3 × 8, so multiply Cellos by 3 too: 3 × 3 =
9.
Missing value =
9.
Equivalent ratios: 8:3 and 24:9 (both reduce to 8:3).
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Problem 8:
Taxis : Buses = 6 : 5
First column: Taxis = 6, Buses = 5 → ratio = 6/5
Second column: Buses = 15 → how many Taxis?
15 is 3 × 5, so Taxis = 3 × 6 =
18.
Third column: Taxis = 36 → how many Buses?
36 is 6 × 6, so Buses = 6 × 5 =
30.
Missing values:
18 and
30.
Equivalent ratios: 6:5, 18:15, 36:30.
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Problem 9:
Burgers : Hot Dogs = 3 : 5
First column: Burgers = 3, Hot Dogs = 5
Second column: Hot Dogs = 10 → that’s 2 × 5, so Burgers = 2 × 3 =
6.
Third column: Burgers = 9 → that’s 3 × 3, so Hot Dogs = 3 × 5 =
15.
Missing values:
6 and
15.
Equivalent ratios: 3:5, 6:10, 9:15.
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Problem 10:
Towels : Blankets = 14 : 8
Simplify first: divide both by 2 → 7 : 4
Second column: Towels = 7 → Blankets should be 4 (since 7:4).
Third column: Blankets = 16 → 16 is 4 × 4, so Towels = 4 × 7 =
28.
Missing values:
4 and
28.
Equivalent ratios: 14:8, 7:4, 28:16.
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Problem 11:
Forks : Spoons = 16 : 10
Simplify: divide by 2 → 8 : 5
Second column: Forks = 8 → Spoons = 5 (matches simplified ratio).
Third column: Spoons = 30 → 30 is 6 × 5, so Forks = 6 × 8 =
48.
Missing values:
5 and
48.
Equivalent ratios: 16:10, 8:5, 48:30.
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Problem 12 (WORK):
Neighbor pays $17 for every 2 hours you work.
You work 8 hours.
How many “2-hour blocks” are in 8 hours?
8 ÷ 2 = 4 blocks.
Each block = $17 → 4 × $17 = $68.
So neighbor owes you
$68.
Let me double-check:
2 hrs → $17
4 hrs → $34
6 hrs → $51
8 hrs → $68
✔
Final Answer:
6. 2
7. 9
8. 18, 30
9. 6, 15
10. 4, 28
11. 5, 48
12. $68
Parent Tip: Review the logic above to help your child master the concept of ratio tables printable.
