Solutions
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Question
Kay began a certain game with x chips. On each of the next two plays, she lost one more than half the number of chips she had at the beginning of that play. If she had 5 chips remaining after her two plays, then x is in the interval:
Option A:
7<x<12
Option B:
13<x<18
Option C:
19<x<24
Option D:
25<x<30
Option E:
31<x<35
Difficulty Level
HardSolution
Option D is the correct answer.
Option Analysis
On the first play she lost (x/2)+1 chips and she was left with x−((x/2)+1)=(x−2)/2 chips.
On the second play she lost ((x−2)/4)+1 chips.
So, we have that x−((x/2)+1)−((x−2)/4)+1))=5 –> x=26.
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