Question

12. In a class, the ratio of the number of boys and girls is
1: 2. Among the boys, one-third are day scholars and
one-fourth of these day scholars travel to school by
bus. Among the girls, two-thirds are day scholars and
half of these day scholars travel to school by bus.
What part of the students in the class are day
scholars travelling to school by bus?​

Answer 1

Answer:

1:10 is the answer(ratio of total day-scholars who travel by bus to total students in class)

Step-by-step explanation:

Given

Ratio of boys to girls= 1:2

Among boys day-scholars are= 1:3

Among boy day-scholars who travel by bus are=1:4

Among girls day scholars are= 2:3

Among girl day scholars who travel by bus =1/2 of 2:3

Let total students be 300

Boys=1/3*300=100

Girls=2/3*300=200

Scholars among boys=1/4*100=25

Scholars who travel by bus among boys=1/5*25=5

Scholars among girls=2/4*200=100

Scholars who travel by bus among girls=1/2*100=50

Total day scholars who travel by bus=5:50=1:10

Answer 2

Answer:

1/4 th

Step-by-step explanation:

1:2 ratio of boys and girls

so, 1/3*1/3*1/4= 1/36 ( boys who travel by bus and are day scholars

in case of girls, 2/3*2/3*1/2= 2/9

then,

1/36+2/9=9/36 = 1/4

there fore 1/4 ty of the students