The first thief takes (1/2 x + 1) . What remains ? x - (1/2x + 1)
So the 2nd thief takes 2/3 of [ x - (1/2x + 1) ]
What remains ? x - 2/3 [ x - (1/2x + 1) ]
So the 3rd thief takes 2/3 of { x - 2/3 [ x - (1/2x + 1) ] } and he takes 1 more .
What remains ? x - ( 2/3 { x - 2/3 [ x - (1/2x + 1) ] } + 1 )
And that whole ugly thing is equal to ' 1 ', so you can solve it for 'x'..
The whole problem from here on is an exercise in simplifying
an expression with a bunch of 'nested' parentheses in it.
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This is a lot harder than just solving the problem with logic and
waving your hands in the air. Here's how you would do that:
Start from the end and work backwards:
-- One diamond is left.
-- Before the 3rd thief took 1 more, there were 2.
-- That was 1/3 of what was there before the 3rd man took 2/3.
So he found 6 when he arrived.
-- 6 was 1/3 of what was there before the second thief helped himself.
So there were 18 when the 2nd man arrived.
-- 18 was 1 less than what was there before the first thief took 1 extra.
So he took his 1 extra from 19.
-- 19 was the remaining after the first man took 1/2 of all on the table.
So there were 38 on the table when he arrived.
Thank you for your generous 5 points.
The answer is 14 because 14 x 4 = 56 so 1 of every 4, 14 times
Answer:
tdyt8ugt77r6r5etstdd56d6e6d5s5e5e5e6tdufycydycycycycycyxtztxyvib>
Answer:
k=6
Step-by-step explanation:
Line partition formula
1/b(x2-x1)+x1, 1/b(y2-y1)+y1
Where b is the number partitions.
We know the x values so Subsitue 17 for x2 and 2 for x1. and we know this value must equal 7.
1/b(17-2)+2=7
1/b(15)=5
1/b=1/3
b=3
so the partition is 1/3
So let find the y coordinate
So our y coordinate is 6.
