Question

The ratio of boys to girls in a class is 3:2.On a day 2 boys and 3 girls were absent, this was the ratio 5:3.
Determine;
(a)The number of boys and girls in the classroom.
(b)The total number of pupils in the classroom.

Answer 1

Answer:

a)total no. of boys =12

total no. of girls =8

b) total students = 20

Step-by-step explanation:

total no. of boys =3x

total no. of girls = 2x

no. of boys absent =2

no. of girls absent =3

new total of students...ratio 5:3

so,

$\frac{3x - 2}{2x - 2} = \frac{5}{3}$

cross multiply

$3(3x - 2) = 5(2x - 2) \\ 9x - 6 = 10x- 10$

$9x - 10x = - 10 + 6$

$- x = - 4$

$x = 4$

• total no. of boys =3x=3(4)=12
• total no. of girls = 2x=2(4)=8
• total no. of students..=12+8=20

hope it's helpful