Question

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?

Answer 1

Answer: 26 cards

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.
`(1)/(3)* 0.5x`

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

`\Rightarrow 8=(1)/(3)* 0.5x\\\\\Rightarrow 0.5x=24\\\Rightarrow x=48`

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

`\Rightarrow 0.5* 48+2\\\Rightarrow 26\ \text{cards}`