Question #47ef2

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Answer 1 · 2017-12-27T16:00:34

#s_A=$179,885#
#s_B=$125,665#

Let #s_A# be the salary of the governor of state A and #s_B# be the salary of the governor of state B. We know the following:

Since the governor of state A earns #54,220# more than the governor of state B, we can say that:

#s_A=s_B+54220#

Also, since we know that the total of their salaries is #305,550#, we can say that:

#s_A+s_B=305550#

Since we know #s_A=s_B+54220#, we can plug #s_B+54220# in for #s_A# in the second equation.

#(s_B+54220)+s_B=305550#

#2s_B+54220=305550#

#2s_B=251330#

#s_B=125665#

Then, we know #s_A=s_B+54220#. So #s_A=179885#