Suppose the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an in
dividual whose final degree is a bachelors. Combined, two people with each of these educational attainments earn $122 thousand. Find the average yearly salary of an individual with each of these final degrees.
<em><u>average yearly salary of an individual whose final degree is a masters:</u></em><u> $ 66 thousand</u>
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average yearly salary of an individual whose final degree is a bachelors:<u> $ 56 thousand</u>
Explanation:
You can set a system of equation using the following steps:
1. Name the variables:
average yearly salary of an individual whose final degree is a masters: x
average yearly salary of an individual whose final degree is a bachelors: y
2. Set the equations that relate the variables:
the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:
equation (1): x = 2y - 46
combined, two people with each of these educational attainments earn $122 thousand:
equation (2): x + y = 122
3. Solve the system:
x = 2y - 46 . . . equation (1)
x + y = 122 . . . equation (2)
Substitute equation (1) into equation (2)
2y - 46 + y = 122
Solve for y:
3y = 122 + 46
3y = 168
y = 168 / 3
y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).
Subsitute the value on y in equation 1, to find the value of x:
x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.
Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.