Questions: The bar graph shows the median yearly earnings of full-time workers in a country for people 25 years and over with a college education, by final degree earned. The median yearly salary of a resident whose final degree is a master's is 50 thousand less than twice that of a resident whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn 163 thousand. Find the median yearly salary of residents with each of these final degrees. The median yearly salary of the resident whose final degree is a bachelor's is 71 thousand. The median yearly salary of the resident whose final degree is a master's is thousand.

The bar graph shows the median yearly earnings of full-time workers in a country for people 25 years and over with a college education, by final degree earned. The median yearly salary of a resident whose final degree is a master's is 50 thousand less than twice that of a resident whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn 163 thousand. Find the median yearly salary of residents with each of these final degrees. The median yearly salary of the resident whose final degree is a bachelor's is 71 thousand. The median yearly salary of the resident whose final degree is a master's is thousand.
Transcript text: The bar graph shows the median yearly earnings of full-time workers in a country for people 25 years and over with a college education, by final degree earned. The median yearly salary of a resident whose final degree is a master's is $\$ 50$ thousand less than twice that of a resident whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $\$ 163$ thousand. Find the median yearly salary of residents with each of these final degrees. The median yearly salary of the resident whose final degree is a bachelor's is $\$ 71$ thousand. The median yearly salary of the resident whose final degree is a master's is $\$$ $\square$ thousand.
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Solution

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Solution Steps

Step 1: Extract Information from the Problem

Let 'b' represent the median yearly salary for a bachelor's degree and 'm' represent the median yearly salary for a master's degree.

From the bar graph: b = $71,000

From the problem: m = 2b - $50,000 b + m = $163,000

Step 2: Substitute and Solve

Substitute the value of b from the graph into the equation m = 2b - $50,000:

m = 2 * $71,000 - $50,000 m = $142,000 - $50,000 m = $92,000

Step 3: Verify the Solution

Check if the solution satisfies the equation b + m = $163,000:

$71,000 + $92,000 = $163,000

Final Answer:

The median yearly salary of the resident whose final degree is a master's is $\boxed{92}$ thousand.

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