There are 42 pupils in a class. 3/4 of the boys and 2/3 of the girls travel to school by bus. The total number of boys and girls who travel to school by bus is 30.

Question

(a) How many boys are there in the class?
(b) How many girls travel to school by bus?

Answer 1

X Boys in the class.
Y Girls in the class.

3x/4 + 2y/3 = 30,
Multiply by 12:
Eq1: 9x + 8y = 360.

x/4 + y/3 = 42-30 = 12,
Multiply by 12:
Eq2: 3x + 4y = 144.

Multiply Eq2 by -3 and add:
9x + 8y = 360
-9x - 12y = -432
Sum: -4y = -72, Y = 18.

3x + 4*18 = 144, X = 24.

Answer 2

What is the answer

Answer 3

Yes it is correct answer

Answer 4

total no of students =42
no of students coming by bus=30
no of boys coming by bus= 3/4*30 =22
no of girls coming by bus =2/3*30 =20
so total =22+20
=42 total ..