# 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

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