You're looking at a
Ratio Worksheet (Math Worksheet 4) designed to help students practice finding and simplifying ratios using visual groups of objects. The worksheet includes 8 problems, each showing two types of fruit or vegetables, and asks for the ratio of one group to the total of both groups — then to simplify that ratio.
Let’s go through each problem step by step and verify the answers provided in the “Answer Key.”
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🔢 Problem 1: Apples vs. Oranges
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Apples: 3
-
Oranges: 9
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Total = 3 + 9 = 12
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Ratio of apples to total = 3 : 12
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Simplify: Divide both by 3 →
1 : 4
✔ Answer given:
3:4 —
✘ This is
incorrect.
The correct simplified ratio is
1:4, not 3:4.
*(Note: The worksheet says “simplified = 3:4”, which is wrong. It should be 1:4.)*
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🍋 Problem 2: Lemons vs. Cherries
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Lemons: 6
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Cherries: 9
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Total = 6 + 9 = 15
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Ratio of lemons to total = 6 : 15
-
Simplify: Divide both by 3 →
2 : 5
✔ Answer given:
3:5 —
✘ Incorrect.
Correct answer:
2:5
---
🍌 Problem 3: Bananas vs. Avocados
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Bananas: 12
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Avocados: 6
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Total = 12 + 6 = 18
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Ratio of bananas to total = 12 : 18
-
Simplify: Divide both by 6 →
2 : 3
✔ Answer given:
1:3 —
✘ Incorrect.
Correct answer:
2:3
---
🍎 Problem 4: Apples vs. Grapes
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Apples: 4
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Grapes: 8
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Total = 4 + 8 = 12
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Ratio of apples to total = 4 : 12
-
Simplify: Divide both by 4 →
1 : 3
✔ Answer given:
2:3 —
✘ Incorrect.
Correct answer:
1:3
---
🍓 Problem 5: Kiwis vs. Strawberries
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Kiwis: 4
-
Strawberries: 16
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Total = 4 + 16 = 20
-
Ratio of kiwis to total = 4 : 20
-
Simplify: Divide both by 4 →
1 : 5
✔ Answer given:
3:4 —
✘ Incorrect.
Correct answer:
1:5
---
🍑 Problem 6: Peaches vs. Pears
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Peaches: 7
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Pears: 14
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Total = 7 + 14 = 21
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Ratio of peaches to total = 7 : 21
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Simplify: Divide both by 7 →
1 : 3
✔ Answer given:
2:3 —
✘ Incorrect.
Correct answer:
1:3
---
🍐 Problem 7: Lemons vs. Apples
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Lemons: 8
-
Apples: 13
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Total = 8 + 13 = 21
-
Ratio of lemons to total = 8 : 21
-
Simplify: GCF of 8 and 21 is 1 → already simplified →
8 : 21
✔ Answer given:
4:7 —
✘ Incorrect.
Correct answer:
8:21
---
🍍 Problem 8: Pineapples vs. Watermelons
-
Pineapples: 6
-
Watermelons: 16
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Total = 6 + 16 = 22
-
Ratio of pineapples to total = 6 : 22
-
Simplify: Divide both by 2 →
3 : 11
✔ Answer given:
9:11 —
✘ Incorrect.
Correct answer:
3:11
---
##
✔ Summary of Correct Answers:
| Problem | Objects | Ratio Given | Simplified Ratio (Correct) |
|---------|------------------|-------------|-----------------------------|
| 1 | Apples : Total | 3:12 |
1:4 |
| 2 | Lemons : Total | 6:15 |
2:5 |
| 3 | Bananas : Total | 12:18 |
2:3 |
| 4 | Apples : Total | 4:12 |
1:3 |
| 5 | Kiwis : Total | 4:20 |
1:5 |
| 6 | Peaches : Total | 7:21 |
1:3 |
| 7 | Lemons : Total | 8:21 |
8:21 |
| 8 | Pineapples : Total | 6:22 |
3:11 |
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## 🧠 Key Concept Explained:
A
ratio compares two quantities. In this worksheet, you’re comparing
one group to the
sum of both groups (i.e., part-to-whole).
To
simplify a ratio, divide both numbers by their
greatest common factor (GCF) until no further simplification is possible.
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## ⚠️ Important Note:
The “Answer Key” shown in your image contains
multiple errors. All 8 answers are incorrect. This may be a misprint or an intentional trick to test attention to detail — but mathematically, none of the provided simplified ratios match the correct simplifications.
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##
✔ Final Recommendation:
If you’re using this as a learning tool,
ignore the answer key and use the correct answers above. If you’re a teacher or parent, consider correcting the answer key before distributing it to students.
Let me know if you’d like a printable corrected version or additional practice! 🍎📚
Parent Tip: Review the logic above to help your child master the concept of ratio worksheet 5th grade.