190k views
5 votes
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?

User Eslimaf
by
7.5k points

2 Answers

3 votes

Answer:

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

User Amila Suriarachchi
by
7.3k points
4 votes

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.

User Stanislav Shabalin
by
7.1k points
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