Question

The ratio of the number of boys and girls in a gradeis3:2. If 20% of the boys and 25% of the girls are scholarship holders, find the percentage of the students who are not scholarship holders if there are 100 students in the grade.

Answer 1

Step-by-step explanation:

Let there be 100 students.

Then number of boys =

5

3

×100=60

Number of girls =

5

2

×100=40

Total scholarship holders =20 % of 60 + 30 % of 40=

100

20

×60+

100

30

×40 = 12+12=24

Number of students without scholarship =100−24=76

∴% of students without scholarship =

100

76

×100=76 %

Answer 2

Step-by-step explanation:

Let there be 100 students.

Then number of boys =

5

3

×100=60

Number of girls =

5

2

×100=40

Total scholarship holders =20 % of 60 + 30 % of 40=

100

20

×60+

100

30

×40 = 12+12=24

Number of students without scholarship =100−24=76

∴% of students without scholarship =

100

76

×100=76 %