Given the problem:
There are 27 hits and 35 girls in the assembly hall and there are 15 boys and 17 girls in the laboratory room. Which room has the higher proportion of girls?
To start solving this problem, we must understand what the question is asking for: which room has the higher proportion of girls, not number of girls. So ratio basically.
Let’s set up the ratios for both the assembly hall and laboratory room, in girl/boy ratio.
Assembly hall: 35/27
Laboratory: 17/15
Now let’s expand the fractions to make the denominators the same to see which has a higher numerator, and therefore, higher promotion of girls.
35/27 17/15
Multiply the other side with the other denominators:
35x15/27/15 17x27/15x27
Solve:
525/405 459/405
So is 525 or 459 greater? 525.
The answer is the assembly hall.