Question

Jennifer has $400 more than Brian has. If she were to give Brian 20% of her money, then Brian would have 2 3 of the amount of money that Jennifer would then have. How much money does Brian currently have (before exchanging money)

Answer 1

Answer:  $\ 202$

Step-by-step explanation:

Given

Jennifer has $400 more than Brian

Suppose Brian has x amount initially

So, Jennifer has 400+x

If Jennifer gives 20% of her to Brian, then brian would have two-third of the amount Jennifer left with

$\Rightarrow \dfrac{2}{3}\times [400+x](1-0.2)=[400+x](0.2)+x\\\\\Rightarrow \dfrac{2}{3}\times 0.8\times (400+x)=80+0.2x+x\\\\\Rightarrow 213.334+0.533x=80+1.2x\\\Rightarrow 133.334=0.66x\\\Rightarrow x=\ 202.02$

Thus, Brain has $\ 202$