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 10:5. 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? Choose the correct choice from the following answers:	A) 4/10	B) 4/9	C) 6/5	D) 9/2	E) 6/4
Red: 4/9lue = 10:5   Let Red = 10x and 4/9lue = 5x   1/3 of Red are left handed =&gt; 1/3 * 10x = 10x/3 Red left handed   2/3 of 4/9lue are left handed =&gt; 2/3 *5x = 10x/3 blue left handed   fraction of participants who are left handed = total left handed/ total participants = (red left handed + blue left handed)/total participants = (10x/3 + 10x/3)/(10x+5x) = 20/45 = 4/9   Answer : 4/9
<result>B</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 10:5. 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?