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Min had some cards He gave half of the cards to Bill. Bill give 1/3 of those cards to Sam. Sam gave 2 cads back to Min and Kept 6. How many cards did Min have in the end?

Respuesta :

Answer: 26 cards

Step-by-step explanation:

Suppose there are x cards initially

Min gave half to bill i.e. 0.5x

Bill gives one-third of those cards to Sam i.e. [tex]\frac{1}{3}\times 0.5x[/tex]

Sam gave 2 cards back to min and kept 6 i.e. Sam gets 8 cards from Bill

[tex]\Rightarrow 8=\dfrac{1}{3}\times 0.5x\\\\\Rightarrow 0.5x=24\\\Rightarrow x=48[/tex]

So, min has 0.5x+2 cards i.e.

[tex]\Rightarrow 0.5\times 48+2\\\Rightarrow 26\ \text{cards}[/tex]

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