Clarence, Amir and Jun Wei received some stickers. The ratio of the number of stickers that Clarence received to the number of stickers Amir received was 4 : 9. The ratio of the number of stickers Jun Wei received to the number of stickers Amir received was 4 : 3. Clarence received 24 stickers. How many stickers did Jun Wei receive? Ans: ___

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Worked solution

25

1. Identify the common term and combine the two ratios into a single ratio

Clarence : Amir = 4:94 : 9
Jun Wei : Amir = 4:34 : 3
To make Amir's units the same in both ratios, multiply the second ratio by 33:
Jun Wei : Amir = 12:912 : 9
Combined ratio Clarence : Amir : Jun Wei = 4:9:124 : 9 : 12

2. Find the value of 1 unit using Clarence's stickers

Clarence has 44 units.
4 units=244 \text{ units} = 24
1 unit=24÷4=61 \text{ unit} = 24 \div 4 = 6

3. Calculate the number of stickers Jun Wei received

Jun Wei has 1212 units.
12 units=12×6=7212 \text{ units} = 12 \times 6 = 72

Answer

7272

AI analysis — may contain mistakes.

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