At an international conference, “Red” world countries and “Blue” world countries are the only participants. The ratio of “Red” world participants to “Blue” world participants is 2:1. If one-third of “Red” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed?	Options: A) 2/3 B) 4/5 C) 6/2 D) 5/2 E) 4/9
Red: Blue = 2:1   Let Red = 2x and Blue = 1x   1/3 of Red are left handed =&gt; 1/3 * 2x = 2x/3 Red left handed   2/3 of Blue are left handed =&gt; 2/3 *1x = 2x/3 blue left handed   fraction of participants who are left handed = total left handed/ total participants = (red left handed + blue left handed)/total participants = (2x/3 + 2x/3)/(2x+1x) = 4/9   Answer : 4/9
<result>E</result>
At an international conference, “Red” world countries and “Blue” world countries are the only participants. The ratio of “Red” world participants to “Blue” world participants is 2:1. If one-third of “Red” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed?