At a local beach, the ratio of little dogs to average dogs to enormous dogs is 3:4:8. Late in the afternoon, the ratio of little dogs to average dogs doubles and the ratio of little dogs to enormous dogs increases. If the new percentage of little dogs and the new percentage of average dogs are both integers and there are fewer than 30 total dogs at the beach, which of the following represents a possible new percentage of enormous dogs?  Answers:
A) 25%  B) 40%  C) 55%  D) 50%  E) 70%
Little 50%ogs(L), Average 50%ogs(A) and Enormous 50%ogs (E)   The initial ratio for L:A:E :: 3:4:8   Initial Total dogs = 15X ( x assumed; 2+5+8= 
<gadget id="calculator">2+5+8</gadget>
<output>15</output>
15), Since the total dogs are less than 30 therefore initial total value has to be 15   L= 3, A = 4 E = 8   L:A= 3:4   This ratio doubles   Hence New 50%og count is   L= 6 , A = 4 E= X: Also 6+4+x&lt;30   We need to Find X*100/(4+6+X)   Now it says that new percentage of little dogs and Average dogs is an integer   %L = 6*100/(10+x) %A = 4*100/(10+x); Only Value for X is 10 ; 9+x&lt;30 and % integer   Therefore, Enormus 50%ogs % is = 10*100/(20)= 
<gadget id="calculator">10*100/(20)</gadget>
<output>50</output>
50%   50%
<result>D</result>
At a local beach, the ratio of little dogs to average dogs to enormous dogs is 3:4:8. Late in the afternoon, the ratio of little dogs to average dogs doubles and the ratio of little dogs to enormous dogs increases. If the new percentage of little dogs and the new percentage of average dogs are both integers and there are fewer than 30 total dogs at the beach, which of the following represents a possible new percentage of enormous dogs?