Let J = Jan's salary, Y = Jani's salary, and S = Sam's salary:
J/Y = 3/4 Therefore 4J/3 = Y [Jan and Jani's salary ratio = 3/4]
J/S = 2/3; Therefore 3J/2 = S [Jan and Sam's salary ratio = 2/3]
J + Y + S = $1800 [Total salary = $1800]
Substitute:
J + Y + S = $1800
J + 4J/3 + 3J/2 = 1800
23J/6 = $1800
J = $1800*6/23
J = $469.57
Find Y and S:
Y = 4J/3 = 4*($469.57)/3 = $626.09
S = 3J/2 = 3*($469.57)/2 = $704.35
Check:
J + Y + S = $1800
$469.57 + $626.09 + 704.26 = $1800
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