Mr. Lee invested some money. Lost 4% in a stock and gained 3.2% in a bond. Overall he lost 11.2$. If he invested the amount in the stock to the bond vice versa, then he wouldve gained $3.2, how much is in the bond and how much is in the stock?

Question

Mr. Lee invested some money. Lost 4% in a stock and gained 3.2% in a bond. Overall he lost 11.2$. If he invested the amount in the stock to the bond vice versa, then he wouldve gained $3.2, how much is in the bond and how much is in the stock?

I got:
0.96x+1.032y=x+y-11.2
0.96y+1.032x-3.2=x+y+3.2

Is that right? If so, I don't know how to solve it from here. The decimals don't make sense.

Help and explain the steps?

Answer 1

Don't see why you set them up differently. I'd say you want

0.96x+1.032y=x+y-11.2
0.96y+1.032x=x+y+3.2

Now just solve for x and y as usual, and you get

x = 600
y = 400

If you don't like decimals, just multiply everything by 1000.