Explanation on a Quant Question

Looking at this question, ratio Girls to Boys is 2:6

If there are 24 boys in the class according to the question, how is G:B 24:72 the answer?

Considering ratio 2:6 is G:B which eventually gave us 1:3?

This is very confusing for me

I’m not sure what’s happening in the video, but this is roughly what you’d do:

Let:

  • \sum_b represent the total test scores of all boys
  • \sum_g represent the total test scores of all girls
  • n_b represent the number of boys
  • n_g represent the number of girls

Then you can write the averages as follows:

\frac{\sum_{b}}{n_b} = 90 \text{ and }\frac{\sum_{g}}{n_g} = 82

And finally, you are given that the average score of both girls and boys combined as:

\frac{\sum_b + \sum_g}{n_b + n_g} = \frac{90(n_b) + 82(n_g)}{n_b + n_g} = 84

You’re given that n_b = 24 and so you’re just left with the task of solving for n_g, which should be straightforward.