Question
The king took a glass filled with red wine and drank 15 of its contents. When the king looked away, the court jester refilled the glass by adding water to the remaining red wine and then stirred it. The king drank 14 of this liquid mixture. When the king looked away again, the court jester refilled the cup with more water and stirred it. The king then drank 13 of this liquid mixture. When the king looked away for the third time, the court jester refilled the cup with more water. What percent of this final mixture is red wine?
Answer: Option B
:
B
Method 1:
Let the capacity of glass be 100 ml.
RedWineWaterInitial1000Afterthefirstoperation8020Afterthesecondoperation6040Afterthethirdoperation4060
Method 2:Quantity of red wine left after 3 operations, when the glass originally contains 100% wine from which 15,14 and 13 of total wine are taken out each time and replaced is
=(1−15)(1−14)(1−13)=40%
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:
B
Method 1:
Let the capacity of glass be 100 ml.
RedWineWaterInitial1000Afterthefirstoperation8020Afterthesecondoperation6040Afterthethirdoperation4060
Method 2:Quantity of red wine left after 3 operations, when the glass originally contains 100% wine from which 15,14 and 13 of total wine are taken out each time and replaced is
=(1−15)(1−14)(1−13)=40%
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