moduls and applications

Question

Suppose the average yearly salary of an individual whose final degree is a master's is $46 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $116 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer 1

M= 2B - 46 in units of $1000

M + B = 116 substitute 2B -46 for M

2B -46 + B = 116 combine like terms

3B = 116 +46 = 162 divide by 3

B = 162/3 = 54 = $54,000 for a bachelor degree salary

M = 2(54)-46 = 108-46 = 62 = $62,000 for a master's degree