Posted by **joi** on Wednesday, December 28, 2011 at 9:06am.

1/5 of Jane's money is equal to 1/3 of Sam's money. The difference in their amount is 1/2 of Adam's money. If Adam gives $120 to Sam, Sam will have the same amount of money as Jane. How much do the 3 people have altogether?(non-algebra solution pls)

- maths -
**Reiny**, Wednesday, December 28, 2011 at 9:34am
Sam's money --- x

Jane's money --- y

y/5 = x/3

3y = 5x

y = 5x/3

Adam's --- z

difference in amount of Sam and Jane = 5x/3 - x

= 2x/3

"The difference in their amount is 1/2 of Adam's money" ---> 2x/3 = (1/2)z

z = 4x/3

after give-away:

Adam has 4x/3 - 120

so 4x/3 - 120 = 2x/3

times 3

4x - 360 = 2x

2x = 360

x = 180

Sam has 180

Jane has 300

Adam has 240 , together they have 720

- maths -
**joi**, Wednesday, December 28, 2011 at 9:53am
I am unable to understand the algebra method, could you simplify?

- maths -
**bobpursley**, Wednesday, December 28, 2011 at 11:59am
Joi, you need a personal tutor.

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