The governor of state A earns $48,980 more than the governor of state B. If the total of their salaries is $289,660, find the salaries of each
2 answers:
Answer:
Governor of State B: $120,340; Governor of State A: $169,320
Step-by-step explanation:
For the sake of this problem, let's set the salary of State B's governor as x. That would make the salary of State A's governor equal to x+48980. The following lists out how to solve this problem.
Governor B salary + Governor A salary = $48980
x+x+48980=289660
2x+48980=289660
2x=240680
x=120340
120340+48980=169320
Let x = salary for governor of state A Let y = salary for governor of state B Then x = y + 48980, since gov. of state A earns this much more than governor of state B. Therefore we have x + y = 289660. Substitute for x. (y + 48980) + y = 289660 2y + 48980 = 289660 2y = 240680 y = $120340, which is salary for governor B. Now we substitute y into x = y + 48980 x = 120340 + 48980 x = $169320, which is salary for governor A.
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