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Captain Hook loved number puzzles. He left one such puzzle on Algebra Island,where he buried his magic treasure. The puzzle read:
Get ye to the palm tree at the middle of the isle. Face ye to the west. Think ye of the
number that is seventeen more than the quotient when six times the number of paces to
the treasure is divided by two. This number be equal to the sum when twelve more thannine minus fifteen is added to four times the number of paces to the treasure. Dig ye
only once, for if ye dig in the wrong spot, the treasure will disappear.How many paces should you take?

2007-11-01 13:14:07 · 3 answers · asked by J 3 in Science & Mathematics Mathematics

3 answers

x = the number, p = number of paces
x - 17 = 6p/2 = 3p
x = 3p + 17

x = (9+12-15) + (4p)
= 4p + 6

4p + 6 = 3p + 17
p = 11
x = 50

take 11 paces to the west. diggies. take the goldies. be richies.

2007-11-02 14:47:12 · answer #1 · answered by Mugen is Strong 7 · 0 0

17 + 6x/2 = 12 + (9-15) +4x
17 + 3x = 6 + 4x
11 = x

2007-11-01 20:41:46 · answer #2 · answered by Steve A 7 · 0 0

x=6n/2 +17
x= 12+9-15+4n

6n/2 +17 = 12+9-15+4n
3n +17= 6+4n
n+6=17
n=23

i think you should take 23 paces west.. not sure though

2007-11-01 20:24:27 · answer #3 · answered by melted cheese 4 · 1 1

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