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Question

3 girls, Amy, Beth and Cloe divided some crystals amongst themselves. Amy took 4 crystals and 1/4 of the remaining crystals. Next, Beth took 4 crystals and 1/4 of the remaining crystals. Finally, Cloe took the remaining 24 crystals. How many crystals were there at first?

Answer

We work backwards from the 24 crystals Cloe took

3/4 second remainder -> 24

1/4 second remainder -> 24 ÷ 3 = 8

second remainder -> 4 x 8 = 32

4 + 32= 36

3/4 first remainder -> 36

1/4 first remainder -> 36 ÷ 3 = 12

first remainder -> 4 x 12 = 48

4 + 48 = 52 (Ans)

Hope it helps 🙂

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post-23053

Hope it helps 🙂

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Hi Arosisi, 

can you guide this Q in algebra method instead. thank you so much. 

 

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