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)

Question

Reiny · Answer

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

joi · Answer

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

bobpursley · Answer

Joi, you need a personal tutor.