<PRE><B>Question 121566</B>
141 dual champions, 1 in toy class, 3 in herding class, rest in either sporting (s) or hounds (h), so {{{h+s=141-(1+3)=137}}}


Hounds got 93 more duals than sporting, so {{{h=s+93}}}, or {{{h-s=93}}}.


{{{h+s=137}}}
{{{h-s=93}}}


Add the two equations to get:


{{{2h+0s=230}}}


Divide by 2


{{{h=115}}}, therefore {{{s=137-115=22}}}


22 sporting duals and
115 hound duals


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d = dachshunds with duals
h = hounds with duals not counting dachshunds


From the previous problem we know that the total of hound breeds with duals is 115.  We are given that 75 of these were awarded to other than dachshunds.  Therefore {{{d=115-h=115-75=40}}}



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