SOLUTION: Brenda and her family were driving to her grandmother’s house during a holiday. During the drive, Brenda fell asleep halfway through the trip. When she awoke, her family stil

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Brenda and her family were driving to her grandmother’s house during a holiday. During the drive, Brenda fell asleep halfway through the trip. When she awoke, her family stil      Log On


   

Question 537894: Brenda and her family were driving to her grandmother’s house
during a holiday. During the drive, Brenda fell asleep halfway
through the trip. When she awoke, her family still had to travel
half the distance that she had traveled while she was sleeping.
For what fraction of the entire trip had Brenda been asleep?
Show or explain how you got your answer.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Since I am only dealing with fractions, I
will call the whole trip 1. They had
already driven +1%2F2+ when Brenda fell
asleep.
There was +1%2F2+ left to travel.
Let +d+ = distance traveled while
Brenda was asleep.
+d%2F2+ is left to travel after she
woke up.
+d+%2B+d%2F2+=+1%2F2+
+%283%2F2%29%2Ad+=+1%2F2+
+d+=+%282%2F3%29%2A%281%2F2%29+
+d+=+2%2F6+
+d+=+1%2F3+
Brenda had been asleep for 1/3 of the trip
check:
+d%2F2+=+1%2F6+
+1%2F2+%2B+1%2F3+%2B+1%2F6++=+3%2F6+%2B+2%2F6+%2B+1%2F6+
+1+=+1+
OK