SOLUTION: Bill has twice as much money as Jim and half as much as Sue how much does each person have if together they have $120? Need step by step answer. Thank you

Question 1005763: Bill has twice as much money as Jim and half as much as Sue how much does each person have if together they have $120?
Need step by step answer.
Thank you
Found 2 solutions by fractalier, josmiceli:
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call their amounts b, j and s.
We have
b + j + s = 120
and
b = 2j or j = (1/2)b
and
b = (1/2)s or s = 2b
Plug these into the first equation and get
b + (1/2)b + 2b = 120
(7/2)b = 120
Now multiply by 2/7 and get
b = 240/7 dollars
j is half that or 120/7 dollars
s is double that or 480/7 dollars

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = amount that Bill has
Let = amount that Jim has
Let = amount that Sue has
----------------------------
(1)
(2)
(3)
---------------------
There are 3 unknowns and 3 equations,
so it is solvable
----------------
From (1):
(1)
From (2):
(2)
----------------
Substitute (1) and (2) into (3)
(3)
(3)
(3)
(3)
(3)
and, since:
(1)
(1)
(1)
also:
(2)
(2)
(2)
-------------------
Bill has $34.29
Jim has $17.15
Sue has $68.58
---------------
check:
(3)
(3)
(3) ( error due to rounding off )
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