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Question 78982: Paula, Joanne, Mary own a total of 16 dogs, alomg which are three poddles, twice that many are cocker spanllas, and the remainder areow german shpds and collies. Joanne hates poddles and collies but owns four cocker spannlas,and two german sphds, given her a total of 6 dogs. Paula owns 1 poddle,and two other dogs, both german sphds. Mary owns three collies,and several other dogs. What other dogs (and how many of each) does Mary own.
In contructing a table for this problem, remember to enter zeros as well as positive numbers whenever appropriate. Also enter totals as soon as you can.
Answer by 303795(602)   (Show Source):
You can put this solution on YOUR website! 3 poodles, 6 cocker spaniels and 7 (collies and German Shepherds combined)
Joanne - 4 cocker spaniels and 2 German shepherds (6 dogs)
Paula - 1 poodle and 2 German Shepherds (3 dogs)
Mary - 3 collies and several other dogs (must have a total of 16-6-3=7 dogs)
Mary has 3 collies and the others each have 2 German Shepherds so the 7 of those dogs are all accounted for.
1 poodle is accounted for so there must be two left for Mary.
4 cocker spaniels are accounted for so there must be two left for Mary.
So Mary has 2 poodles, 2 cocker spaniels and 3 collies (ie 7 dogs).
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