If the ratio of girls to boys is 2:3 and there are 42 boys .find the number of girls and total number of students? This sum is of ratio and proportion.
We begin by setting up an algebraic relationship to model the ratio of girls to boys, with
#g =#the number of boys #b =#the number of girls:
As we know the number of boys, we can plug in that value:
This relationship simplifies to
which in turn simplifies to
Then, to determine the total number of students, we can simply total the number of girls + the number of boys:
Therefore, there are