SOLUTION: zul and amelia have a baby daughter, shanise. Zul is 23kg heavier than amelia. Who is four times heavier than shanise. There combined weight is 122kg. How heavy is each person?

Question 708714: zul and amelia have a baby daughter, shanise. Zul is 23kg heavier than amelia. Who is four times heavier than shanise. There combined weight is 122kg. How heavy is each person?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let Zul's weight in kg =
Let Amelia's weight in kg =
Let Shanise's weight in kg =
given:
(1)
(2)
(3)
-----------------------
This is 3 equations and 3 unknowns,
so it's solvable
(2)
(2)
Substitute (1) and (2) into (3)
(3)
(3)
Multiply both sides by
(3)
(3)
(3)
and, since
(1)
(1)
(1)
and
(2)
(2)
(2)
Zul's weight is 67 kg
Amelia's weight is 44 kg
Shanise's weight is 11 kg
check:
(3)
(3)
(3)
OK

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