This worksheet challenges Grade 5 students to apply their knowledge of ratios to solve five word problems involving shared toys.

Let’s solve each problem step by step, using the concept of ratios. A ratio compares two or more quantities. When we say “A:B”, it means for every A parts, there are B parts.

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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?

Wait — this seems confusing at first. If the ratio is 7:10, and Maria got 7, that suggests the ratio parts are not the actual numbers, but multiplied by a common factor.

Let’s clarify:

- Ratio = Nicole : Maria = 7 : 10
- But Maria got 7 toys → so the “10 parts” in the ratio corresponds to 7 actual toys.

That means:
> 10 parts = 7 toys
→ So 1 part = 7 ÷ 10 = 0.7 toys

Then Nicole got 7 parts = 7 × 0.7 = 4.9 toys

But toys can’t be fractional in real life — this suggests there may be a typo in the question.

Alternatively, perhaps the question meant: Maria got 10 parts, and that equals 7 toys? That doesn’t make sense either.

Wait — let’s re-read:
> “Maria got 7.” — meaning she received 7 toys, and the ratio is 7:10.

So if Maria’s share is 10 parts and she got 7 toys, then:

→ 10 parts = 7 toys
→ 1 part = 0.7
→ Nicole got 7 parts = 7 × 0.7 = 4.9

But again, fractional toys? Unlikely.

Alternatively — maybe the question meant: The ratio is 7:10, and Maria got 10 parts (i.e., 10 units), and Nicole got 7 units. Then “Maria got 7” is a mistake?

Actually, looking closely — perhaps the question is testing understanding: If the ratio is 7:10, and Maria got 7, which is the smaller number in the ratio, then the larger amount must be Nicole’s?

Wait — no, because in ratio 7:10, 10 is larger than 7, so Maria should have the larger share.

But if Maria got only 7 toys, and the ratio is 7:10, then the “7” in the ratio corresponds to Nicole, and “10” to Maria.

So if Maria got 7 toys, but her part is 10, then the scale factor is 7/10.

Then Nicole got 7 × (7/10) = 4.9 — still fractional.

This is messy.

Alternative interpretation (most likely intended):

Perhaps the question meant:
> “Nicole and Maria shared toys in ratio 7:10. Maria got 10 parts. What was the larger amount?”

But it says “Maria got 7”.

Wait — here's a better way: Maybe “Maria got 7” means she got 7 parts, and the ratio is 7:10 — so if Maria got 7 parts, then Nicole got 10 parts? That would reverse the ratio.

No — the ratio is given as Nicole : Maria = 7 : 10

So Nicole gets 7 parts, Maria gets 10 parts → Maria gets more.

If Maria got 7 toys, then 10 parts = 7 → 1 part = 0.7 → Nicole got 7 × 0.7 = 4.9

But since this is Grade 5, and toys are whole, perhaps the question has a typo, and it meant Maria got 10, or Nicole got 7.

Actually — let’s look at the wording:
> “Maria got 7. What was the larger amount?”

If Maria got 7, and the ratio is 7:10, then Maria’s share corresponds to the ‘10’ part, so 10 parts = 7 → 1 part = 0.7 → Nicole got 7 × 0.7 = 4.9 → larger amount is Maria’s: 7

Ah! So the larger amount is 7, because even though 10 > 7 in the ratio, the actual quantity Maria got is 7, which is larger than Nicole’s 4.9.

But that feels forced.

Better approach: Assume “Maria got 7” means she got 7 units, and the ratio is 7:10, so the 7 in the ratio is Nicole’s, 10 is Maria’s.

So if Maria got 7 toys, and her part is 10, then the multiplier is 7/10.

Then Nicole got 7 × (7/10) = 4.9 → larger amount is Maria’s: 7

✔ So answer: 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?

Ratio: Kim : Angela = 10 : 9

Angela got 72 toys → her share is 9 parts.

So:
> 9 parts = 72
→ 1 part = 72 ÷ 9 = 8

Kim got 10 parts = 10 × 8 = 80

Total = 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?

Ratio: Maria : Kim = 4 : 6

Kim got 6 toys → his share is 6 parts.

So:
> 6 parts = 6
→ 1 part = 1

Maria got 4 parts = 4 × 1 = 4

Larger amount is Kim’s: 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?

Ratio: Ariana : Aamira = 10 : 7

Ariana got 140 → her share is 10 parts.

So:
> 10 parts = 140
→ 1 part = 14

Aamira got 7 parts = 7 × 14 = 98

Smaller amount is 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?

Ratio: Farha : Aleena = 9 : 8

Aleena got 24 → her share is 8 parts.

So:
> 8 parts = 24
→ 1 part = 3

Farha got 9 parts = 9 × 3 = 27

Total = 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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## 📝 Explanation Summary:

- In all problems, we used the concept: Ratio parts correspond to actual quantities via a multiplier (scale factor).
- We found the value of 1 part by dividing the known quantity by its corresponding ratio number.
- Then we multiplied to find the other person’s share.
- For “larger/smaller amount”, we compared the actual quantities.
- For “total amount”, we added both shares.

Even though Problem 1 had a confusing wording, interpreting it logically leads to the conclusion that Maria’s actual amount (7) is the larger amount, since Nicole got less (4.9, or approximately 5 if rounded — but since 7 is given, we take it as exact).

In Grade 5, sometimes problems assume you understand that the "parts" scale up/down to match the actual numbers given.

Hope this helps! 😊