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: ___

Work through it with AI →

It won't just hand you the answer — it asks where you're stuck.How the checker works

Worked solution

25

1. Find a common ratio for Clarence, Amir, and Jun Wei by making Amir's units the same.

We are given:
Ratio of Clarence to Amir, C:A=4:9C : A = 4 : 9
Ratio of Jun Wei to Amir, J:A=4:3J : A = 4 : 3

To combine them, we make the parts for Amir (AA) the same. The lowest common multiple of 9 and 3 is 9.
J:A=4:3=(4×3):(3×3)=12:9J : A = 4 : 3 = (4 \times 3) : (3 \times 3) = 12 : 9

Now we can combine them into a single ratio:
C:A:J=4:9:12C : A : J = 4 : 9 : 12

2. Calculate the number of stickers Jun Wei received using the unified ratio.

Clarence received 24 stickers, which corresponds to 4 units.
4 units=244\text{ units} = 24
1 unit=244=61\text{ unit} = \frac{24}{4} = 6

Jun Wei's share corresponds to 12 units:
Number of stickers Jun Wei received=12×6=72\text{Number of stickers Jun Wei received} = 12 \times 6 = 72

Answer

72

AI analysis — may contain mistakes.

Worked this one out on paper? Snap your steps and Gigle's AI math checker will circle the step where it went wrong.

More questions on this topic

  1. 1In a camp, the number of children is 38\frac{3}{8} of the number of adults. 29\frac{2}{9} of the children are boys and t…
  2. 2Mrs Raj baked some muffins. 14\frac{1}{4} of them were blueberry muffins, 25\frac{2}{5} of them were chocolate muffins a…
  3. 3Thomas and Siti had cookies in the ratio 3 : 7. After Thomas bought another 42 cookies and Siti ate 18 cookies of her ow…
  4. 4There were a total of 2120 students at the school parade square at first. After 536 boys and 14\frac{1}{4} of the girls…
  5. 5把20克糖放入200克水中,糖与糖水的质量比是多少?