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`

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 (2)/(3)* [400+x](1-0.2)=[400+x](0.2)+x\\\\\Rightarrow (2)/(3)* 0.8* (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`