Grade 5 math worksheet focusing on ratios and proportions with five problems about sharing toys in specific ratios.

Let’s solve each problem step by step, explaining the reasoning clearly for Grade 5 level understanding.

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Problem 1:
> Nicole and Maria shared their toys in the following ratio 7:10. Maria got 7. What was the larger amount?

✔ Understanding the Ratio:
- The ratio is Nicole : Maria = 7 : 10
- This means for every 7 parts Nicole gets, Maria gets 10 parts.
- But the problem says Maria got 7 — that seems contradictory at first.

Wait — let’s read carefully:
> “Maria got 7” — this likely means Maria got 7 actual toys, which corresponds to the 10 parts in the ratio.

So we need to find out what one part is worth.

👉 Step 1: If 10 parts = 7 toys, then 1 part = 7 ÷ 10 = 0.7 toys

👉 Step 2: Nicole got 7 parts → 7 × 0.7 = 4.9 toys

But toys are usually whole numbers — so perhaps there's a misstatement? Let’s re-read.

Actually — maybe the problem meant:
> “Nicole and Maria shared their toys in the ratio 7:10. Maria got 7 parts.” — but it says “Maria got 7” — meaning 7 toys.

That would mean the ratio parts are not equal to toy counts — so we must scale the ratio.

If Maria’s share (10 parts) = 7 toys → then 1 part = 0.7

Then Nicole’s share = 7 parts = 7 × 0.7 = 4.9

Larger amount = Maria’s = 7

✔ Answer: 7

*(Note: Even though 4.9 is less than 7, the question asks for the larger amount — which is Maria’s 7.)*

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Problem 2:
> Kim and Angela shared their toys in the following ratio 10:9. Angela got 72. What was the total amount shared?

✔ Understanding:
- Ratio Kim : Angela = 10 : 9
- Angela got 72 toys → this corresponds to 9 parts

👉 Step 1: Find value of 1 part:
9 parts = 72 → 1 part = 72 ÷ 9 = 8

👉 Step 2: Kim got 10 parts → 10 × 8 = 80

👉 Step 3: Total shared = Kim + Angela = 80 + 72 = 152

✔ Answer: 152

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Problem 3:
> Maria and Kim shared their toys in the following ratio 4:6. Kim got 6. What was the larger amount?

✔ Understanding:
- Ratio Maria : Kim = 4 : 6
- Kim got 6 toys → corresponds to 6 parts

👉 Step 1: 6 parts = 6 toys → 1 part = 6 ÷ 6 = 1 toy

👉 Step 2: Maria got 4 parts → 4 × 1 = 4 toys

👉 Step 3: Compare: Maria = 4, Kim = 6 → Larger amount = 6

✔ Answer: 6

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Problem 4:
> Ariana and Aamira shared their toys in the following ratio 10:7. Ariana got 140. What was the smaller amount?

✔ Understanding:
- Ratio Ariana : Aamira = 10 : 7
- Ariana got 140 → corresponds to 10 parts

👉 Step 1: 10 parts = 140 → 1 part = 140 ÷ 10 = 14

👉 Step 2: Aamira got 7 parts → 7 × 14 = 98

👉 Step 3: Smaller amount = Aamira’s = 98

✔ Answer: 98

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Problem 5:
> Farha and Aleena shared their toys in the following ratio 9:8. Aleena got 24. What was the total amount shared?

✔ Understanding:
- Ratio Farha : Aleena = 9 : 8
- Aleena got 24 → corresponds to 8 parts

👉 Step 1: 8 parts = 24 → 1 part = 24 ÷ 8 = 3

👉 Step 2: Farha got 9 parts → 9 × 3 = 27

👉 Step 3: Total = Farha + Aleena = 27 + 24 = 51

✔ Answer: 51

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## ✔ Final Answers:

1. 7
2. 152
3. 6
4. 98
5. 51

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## 💡 Teaching Tip:
In all these problems, the key is to:
- Identify which person’s share corresponds to which part of the ratio.
- Use division to find the value of one part.
- Multiply to find other shares.
- Add or compare as needed.

This method helps students understand ratios as scalable relationships — not just numbers, but proportional parts.

Let me know if you’d like visual diagrams or more practice!