If 30 is half the number of her spots, then she has 30*2=<<30*2=60>>60 spots total.

If one-third of her spots are located on her back and hindquarters, then she has 60/3=<<60/3=20>>20 spots located on her back and hindquarters.

If the reaming spots are located on her sides, then 60-30-20=<<60-30-20=10>>10 spots are located on her sides.

# Answer

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<|im_start|>system
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<|im_start|>user
Jean the jaguar has a beautiful fur coat containing a pattern of many rose-shaped spots, as unique as a human fingerprint.  Half of her spots are located on her upper torso, with one-third of the spots located on her back and hindquarters, and the remaining spots located on her sides.  If Jean has 30 spots on her upper torso, how many spots does she have located on her sides?
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user
10
Jean the jaguar has a beautiful fur coat containing a pattern of many rose-shaped spots, as unique as a human fingerprint.  Half of her spots are located on her upper torso, with one-third of the spots located on her back and hindquarters, and the remaining spots located on her sides.  If Jean has 30 spots on her upper torso, how many spots does she have located on her sides?
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