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Question 143199: In Luigi's grocery store, a fresh case of oranges was brought in. Soon after, a man entered the store and bought half the case plus three oranges. Then a woman entered the store and bought half of the remaining oranges plus three oranges. An old lady then bought half of the remaining oranges plus three oranges. A young man then bought half the remaining oranges plus three oranges. Finally, a boy entered the store and bought the last orange. How many oranges were there originally?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! Number of oranges to start: 
What was left after the man: 
What was left after the woman: 
What was left after the old lady: 
What was left after the young man: 
The boy only had 1 orange to buy, so what was left after the young man must have been 1, therefore:
Add 3 to both sides and then multiply by 2:
Repeat:
Repeat:
And one more time...with feelin'
Check the answer
Start: 106
Man, half is 53, plus 3 is 56, leaving 50
Woman, half is 25, plus 3 is 28, leaving 22
Old Lady, half is 11, plus 3 is 14, leaving 8
Young Man, half is 4 plus 3 is 7, leaving 1 for the Boy. Checks.
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