Question

Rachel has twice as much money as Paul. If I gave Rachel $250, she will then have three times as much as Paul. How much did each of them have originally?

Answer 1

Paul have $250 and Rachel have $500 originally.

Explanation:

Rachel: 2x

Paul: x

If I gave Rachel $250, then:

Rachel: 2x + 250

Paul: 3x

We have he equation:

2x + 250 = 3x

2x - 3x = -250

-x = -250

x = 250

Answer 2

Let's make "x" the amount of Paul.

2x = Rachel.

This means that 2x + 250 = 3x.

Solve:

2x + 250 = 3x

2x - 3x = 250

-x = 250

x = 250

So that means Paul had 250 dollars.

And Rachel had 500 dollars.