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.

## Answer this Question

## Related Questions

- maths urgent - 1/5 of J's money is equal to 1/3 of S's money. The difference in ...
- Math Ratios - Peter & Sam won some money in a competition. Peter won 5 times as ...
- math - Andy and Sam are saving money to go on their senior trip. The amount of ...
- Math - Sam spent half his money on a shirt. At another store he spent half the ...
- math!! - mike and sam begin saving money at the same time. mike plans to save $3...
- Algebra - Bayside Insurance offers two health plans. Under Plan A, Sam would ...
- Algebra - MathMath thank for showing me my mistake. Bayside Insurance offers two...
- math problem - Adam, Sam, and Eddie have to meet their boss at 3:00 in the ...
- 5th grade math problem - Adam, Sam, and Eddie have to meet their boss at 3:00 in...
- algebra - If Will gives Molly $9 dollars he will have the same amount of money ...