Question

The mean weight of students of a class is 46 kg. The mean weight of boys is 50 kg and that of girls is 40 kg. Find the ratio of the number of boys to the number of girls

Answer 1

Answer:

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Answer 2

Answer:

3 : 2

Step-by-step explanation:

Let the total weight of the students be c.

Let the number of boys be y and the number of girls be x.

The mean of the weight of the students will be :

c / (x + y) = 46

c = 46(x + y) = 46x + 46y

Now the total weight of boys will be :

50 × y = 50y

The total weight of girls will be :

40 × x = 40x

The total weight of boys and girls will be :

40x + 50y

We equate this to the first equation.

40x + 50y = 46x + 46y

50y - 46y = 46x - 40x

4y = 6x

y/x = 6/4

y/x = 3/2

The ratio of boys to girls is therefore :

3 : 2