Problema Solution
Between October 2009 and October 2010, the estates of person A, person B, and person C earned a total of $335 million. Together, the estates of person B and person C earned $115 million less than the estate of person A. The estate of person A earned 4.5 times as much as the estate of person C.
Answer provided by our tutors
let
a = the amount that person A earned
b = the amount that person B earned
c = the amount that person C earned
the estates of person A, person B, and person C earned a total of $335 million:
a + b + c = 335
together, the estates of person B and person C earned $115 million less than the estate of person A:
b + c = a - 115
the estate of person A earned 4.5 times as much as the estate of person C:
a = 4.5c
by solving the system of equations:
a + b + c = 335
b + c = a - 115
a = 4.5c
we find:
a = $225
b = $60
c = $50
click here to see the step by step solution of the system of equations:
the estate of person A earned $225.
the estate of person B earned $60.
the estate of person C earned $50.