4/9 of the pupils in a school are chinese. 1/3 of them are malays. The rest are indians. If there are 428 indians pupils in the school. How many pupils are there in the school together?

1 answer

Let's represent the total number of pupils in the school as x.

4/9 of the pupils are Chinese, so there are (4/9)*x Chinese pupils.

1/3 of the pupils are Malays, so there are (1/3)*x Malay pupils.

The rest, which are Indians, are represented by 428 pupils.

Therefore, the equation becomes:
(4/9)*x + (1/3)*x + 428 = x

To simplify the equation, we can multiply both sides by 9 to eliminate the denominators:
4x + 3x + 3852 = 9x

Combining like terms, the equation becomes:
7x + 3852 = 9x

Subtracting 7x from both sides gives us:
3852 = 2x

Finally, dividing both sides by 2 gives us the value of x:
x = 1926

Therefore, there are 1926 pupils in the school.