At an international conference, “Yellow” world countries and “Blue” world countries are the only participants. The ratio of “Yellow” world participants to “Blue” world participants is 3:2. If one-third of “Yellow” 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? Pick
A) 7
B) 7/15
C) 5/8
D) 9/2
E) 4/6
Yellow: 7/15lue = 3:2   Let Yellow = 3x and 7/15lue = 2x   1/3 of Yellow are left handed =&gt; 1/3 * 3x = 3x/3 Yellow left handed   2/3 of 7/15lue are left handed =&gt; 2/3 *2x = 4x/3 blue left handed   fraction of participants who are left handed = total left handed/ total participants = (yellow left handed + blue left handed)/total participants = (3x/3 + 4x/3)/(3x+2x) = (7x/15x) = 7/15   Answer : 7/15
<result>B</result>
At an international conference, “Yellow” world countries and “Blue” world countries are the only participants. The ratio of “Yellow” world participants to “Blue” world participants is 3:2. If one-third of “Yellow” 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?