A total of 30 percent of the geese included in a certain migration study were male. If some of the geese migrated during the study and 20 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [Migration rate for geese of a certain sex = (number of geese of that sex migrating) / (total number of geese of that sex)]A. 1/4B. 7/12C. 2/3D. 7/8E. 8/7

Answer:Now the ratio of migration rate for male to the migration rate for the female geese will be 7 : 12Step-by-step explanation:Let the total number of geese in a migration study taken = a30% of the geese were male then number of males = 0.30aThen total number of female geese = 0.70aLet b geese migrated during the study and 20% of them were male then the number of migrated males = 0.20bThen female geese migrated = b - 0.20b = 0.80bThen migration rate of male geese during the study = [tex]\frac{\text{Migrated males}}{\text{Total male geese}}[/tex]= [tex]\frac{0.20b}{0.30a}[/tex]= [tex]\frac{2b}{3a}[/tex]Similarly migration rat of female geese = [tex]\frac{\text{Migrated females}}{\text{Total female geese}}[/tex]= [tex]\frac{0.80b}{0.70a}[/tex]= [tex]\frac{8b}{7a}[/tex]Now the ratio of migration rate for male to the migration rate for the female geese will be = [tex]\frac{\frac{2b}{3a}}{\frac{8b}{7a}}[/tex]= [tex]\frac{2b}{3a}\times \frac{7a}{8b}[/tex]= [tex]\frac{14}{24}[/tex]= [tex]\frac{7}{12}[/tex]Therefore, ratio will be 7 : 12.