Ratio and proportion

1. The problem statement, all variables and given/known data
A man and a women share a sum of money in the ratio 3:2. If the sum of money is doubled ,in what ratio should they divide it so that the man still receives the same amount?

Just a gr.8 problem.Forgive me!

2. Relevant equations
nope

3. The attempt at a solution
What I couldn’t do is the algebra way.Can someone do it the algebra way?
This is what I did:
##\frac{3}{5}*x=y##

##\frac{z}{5}*2x=y##

So I just made ##x##, 100 and ##2x## is 200,obviously.
##\frac{3}{5}*100=60##
so I found the z which is 1.5
Then: ##x## is something else here.
1.5 —> 60
x —> 200-60(140)
So ratio is ##1.5:3.5##
Which can also be written as ##3:7##
I got the answer.But I want to do it the right way.

http://ift.tt/1iYHQHH

Leave a comment

Your email address will not be published.


*


Show Buttons
Hide Buttons