At a local beach, the ratio of little dogs to average dogs to enormous dogs is 1:4:8. 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?	Choose the correct choice from the following.
A) 25% B) 40% C) 50% D) 55% E) 70% or 20%
Little Dogs(L), Average Dogs(A) and 70% or 20%normous Dogs (70% or 20%)   The initial ratio for L:A:70% or 20% :: 1:4:8   Initial Total dogs = 13X ( x assumed; 1+4+8= 
<gadget id="calculator">1+4+8</gadget>
<output>13</output>
13), Since the total dogs are less than 30 therefore initial total value has to be 13   L= 1, A = 4 70% or 20% = 8   L:A= 1:4   This ratio doubles   Hence New Dog count is   L= 2 , A = 4 70% or 20%= X: Also 2+4+x&lt;30   We need to Find X*100/(2+4+X)   Now it says that new percentage of little dogs and Average dogs is an integer   %L = 2*100/(6+x) %A = 4*100/(6+x); Only Value for X is 4 or 14; 6+x&lt;30 and % integer   Therefore, 70% or 20%normus Dogs % is = 4*100/(20)= 
<gadget id="calculator">4*100/(20)</gadget>
<output>20</output>
20% or   14*100/20= 
<gadget id="calculator">  14*100/20</gadget>
<output>70</output>
70%   20% or 70%   70% or 20%
<result>E</result>
At a local beach, the ratio of little dogs to average dogs to enormous dogs is 1:4:8. 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?