MHB Determine the ratio of boys and girls

[burgess]

Help me to solve algebra 1 homework

In a college boys and girls are in the ratio of 5 : 8. This year number of boys and girls increased by 20% and 15% respectively. So what is the present ratio of boys and girls in the college?

Thanks

 

[Prove It]

Help me to solve algebra 1 homework

In a college boys and girls are in the ratio of 5 : 8. This year number of boys and girls increased by 20% and 15% respectively. So what is the present ratio of boys and girls in the college?

Thanks

First of all, I want to go to this college ;)

Anyway, when they're in the ratio of 5:8 we can write it as 1:8/5.

If the number of boys is increased by 20%, you end up with another 1/5, giving 6/5:8/5.

If the number of girls is increased by 15%, you end up with another 3/20, giving a ratio of 6/5 : 7/4

Simplifying this ratio we get 6x4 : 7x5, or 24:35.

 

[soroban]

Hello, burgess!

In a college boys and girls are in the ratio of 5 : 8.
This year number of boys and girls increased by 20% and 15% respectively.
What is the present ratio of boys and girls in the college?

We have: $\:\dfrac{B}{G} \,=\,\dfrac{5}{8}$

Multiply by $\frac{1.2}{1.15}\!: \;\dfrac{1.2B}{1.15G} \:=\:\dfrac{1.2}{1.15}\left(\dfrac{5}{8}\right) \:=\:\dfrac{6}{9.2} $

Therefore: $\:\dfrac{1.2B}{1.15G} \:=\:\dfrac{60}{92} \:=\:\dfrac{15}{23}$

 

[burgess]

Thank you all for your responses