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Question

Samuel had a total of 30 nuggets and fish balls at first.  He exchanged all his nuggets for fish balls.  He had 48 fish balls after exchanging every 1 nugget for 2 fish balls.  How many fish balls did he have at first?

Answer

post-16815

Hope this picture helps to understand better. 

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Tks. Acestarling:)

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This question can also use supposition and assumption method.

If all were fishball there will be 48 pieces.

But the current number is 30

Delta of 48 – 30 = 18

 

Difference between fishball and nugget = 2 – 1 = 1

Therefore the number of nuggets is = 18/1 = 18

Fishball = 30 – 18 = 12

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Tks, Ender:)

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By algebra, let N be the number of nuggets, and F be the original number of fish balls.

N + F = 30

2N + F = 48

Hence N = 18

=> F = 30 – 18 = 12

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Tks ChiefKiasu:)

 

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ChiefKiasu

why 2N + F = 48?

sldnt it b 2F + N = 48?

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Because we are effectively multiplying the number of Nuggets (N) by 2.  The number of original Fish balls  (F) remain unchanged.

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