Salesman and oranges
A salesman sold 1/2 of all his oranges and 1/2 an orange more to the first customer, same thing he did with 2nd & 3rd customer.
How many oranges he must have sold, if he had none left at the end ?
How many oranges he must have sold, if he had none left at the end ?
Labels: logic, trickofmind
posted by Rajesh Lal at
9:11 AM
20 Comments:
11/3 oranges. There went forty minutes of my life! Keep it up! :D
7
7
ended with 0
sold 1/2
means he had a total of half AFTER he sold half of ALL meaning he sold one orange to his last customer.
+ 1/2 to the 2nd customer = 1 and a half oranges.
that times 2 = 3 oranges.
so he sold 2 oranges the seconds customer.
add half to the total = 3 1/2
multiply by 2 = 7.
7 total oranges.
I want an orange.
I'm not so sure, try running trough it the other way, it doesn't come out right. Or could be i messed up...I've been looking at so many equations today that I'm kinda dizzy.
7 is the right answer
1st customer:
half of 7 = 3.5 minus .5 = 3
2nd customer:
half of 3 = 1.5 minus .5 = 1
3rd customer:
half of 1 = 0.5 minus .5 = 0
You're right!
Man, too many numbers today, i wonder how many of these things i fudged as well? Thanks. Most fun I've had in days.
7 Total
7/2+1/2=4 First
7-4=3
3
3/2+1/2=2 Second
3-2=1
1 Third
1/2+1/2=1
1-1=0
0 Left
It was fun!
I'm amazed you all figured this out. I'm still trying to figure out the english...horrible.
He sold all of them. Duh.
well, if 1/2*2=1
and 1/1/2*2=3
and 3/1/2*2=7
the answer is 7
ALL OF THEM =P
I came up with 12. O is the total number of oranges.
O=(1/2O +1/2) + (1/4O + 1/2) + (1/8O +1/2)
O= 1/2O+1/4O+1/8O+3/2
O-3/2= 4/8O+2/8O+1/8O
O-3/2= 7/8O
O-7/8O=3/2 or 12/8
1/8O=12/8
O= 8/1 * 12/8
O=12
That's assuming same as those who got 7 that the half an orange that he tacked on the end wasn't counted in the half of his oranges number use to calculate what he sold to the second and third customers.
none
:))
all 100% of his oranges
all 100% of his oranges
ANSWER
---------------------------
7
GOT RIGHT
---------------------------
casey, Juan G
It took a long time but I believe that it is 7!
YOUR ALL WRONG ITS 8 AHAHHAHAHHAHA STUPID PEOPLE
x=the number of oranges
First customer bought: 1/2x+1/2
Oranges left=1/2x-1/2
Second customer bought: 1/2(1/2x-1/2)+1/2
Therefore oranges left=(1/2x-1/2)-1/2(1/2x-1/2)-1/2=
1/2x-1/2-1/4x+1/4-1/2=1/4x-3/4
Third customer bought: 1/2(1/4x-3/4)+1/2
Oranges left=0
1/4x-3/4 -1/2(1/4x-3/4)-1/2=0
1/4x-3/4-1/8x+3/8-1/2=0 (*8)
2x-6-x+3-4=0
x-7=0
--> x=7
7 oranges had the salesman.
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