SOLUTION: joe bought a bag of oranges on Monday, and ate a third of them. On Tuesday he ate half of the remaining oranges. On Wednesday he looked in the bag to find he only had two oranges l

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: joe bought a bag of oranges on Monday, and ate a third of them. On Tuesday he ate half of the remaining oranges. On Wednesday he looked in the bag to find he only had two oranges l      Log On


   

Question 633158: joe bought a bag of oranges on Monday, and ate a third of them. On Tuesday he ate half of the remaining oranges. On Wednesday he looked in the bag to find he only had two oranges left. How many oranges were originally in the bag?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Joe bought a bag of oranges on Monday, and ate a third of them.
On Tuesday he ate half of the remaining oranges.
On Wednesday he looked in the bag to find he only had two oranges left.
How many oranges were originally in the bag?
:
Let x = original number of oranges
:
2%2F3x, remain on Monday
1%2F2*2%2F3x = 1%2F3x remain on Tuesday
1%2F3x = 2 remain on Wednesday
multiply both sides by 3
1x = 6 orange originally