maths
posted by joi .
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?(nonalgebra solution pls)

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 giveaway:
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 
I am unable to understand the algebra method, could you simplify?

Joi, you need a personal tutor.