Question

Adam has £500 Beth has £130 Adam gives some money to Beth. He now has twice as much money as Beth. What percentage of his money did he give away?

Answer 1

Adam = £500
Beth = £130.

Let the money Adam gives Beth be x.

So Adam would have 500 -x.
Beth would then have  130 + x.

Adam now has twice as much as Beth.

     500 - x = 2*(130 + x)
     500 - x = 2*130 + 2*x
     500 - x = 260 + 2x
     - x - 2x  = 260 - 500
        -3x  = - 240

           x = -240/-3
           x    = 80

So Adam gave £80 to Beth.

To find the %:         (80 / 500) * 100%.      Use your calculator.

                                = 16 %.

So Adam gave away 16% of his money to Beth.