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December 22, 2014

December 22, 2014

Posted by **i love polka** on Tuesday, November 11, 2008 at 9:52pm.

- math -
**Reiny**, Tuesday, November 11, 2008 at 10:33pm8x = 5(26-x)

solve for x

- math -
**i love polka**, Tuesday, November 11, 2008 at 11:15pma thief steals a number of rare plants from a nursery, on the way out the thief meets three security guards, one after another, to each security guard, the thief is forced to give one-half the plants that he still has, plus 2 more, the theif is left with one plant, how many plants were originally stolen?

so this is how i set it up:

.5(3x+2)=1

and i get zero which is wrong

- math -
**Reiny**, Tuesday, November 11, 2008 at 11:30pmYour equation makes no sense to me

Look at it this way :

suppose he stole x plants

after passing the first guard he has left:

.5x - 2

after passing the second guard he has left:

.5(.5x-2)-2

after passing the third guard he has left:

.5[.5(.5x-2)-2] - 2

but this equals 1, so

.5[.5(.5x-2)-2] - 2 = 1

solving this I got x=36

check:

to the first guard he gives 18+2, leaving him with 16

to the second guard he gives 8+2, leaving him with 6

to the third guard he gives 3+2, leaving with with 1

Q.E.D.

- math -

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