At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees

[BTGmoderatorDC]

At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $56,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average salary for the silver employees?

A. $24,000
B. $28,000
C. $32,000
D. $36,000
E. $40,000


OA C

Source: Magoosh

[swerve]

At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $56,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average salary for the silver employees?

A. $24,000
B. $28,000
C. $32,000
D. $36,000
E. $40,000


OA C

Source: Magoosh

Try as follows
\(G=S+56000\)

Company Average \(= \dfrac{120S+160G}{120+160}\)

Substituting \(S= G- 56000\)

\(\dfrac{120G−120\cdot56000+160G}{280}=G−24000\)

So, Company Average - Silver group Average
\(= G-24K-G+56K\)
\(=32K\)
\(=32000\)

Therefore, C

[Scott@TargetTestPrep]

At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $56,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average salary for the silver employees?

A. $24,000
B. $28,000
C. $32,000
D. $36,000
E. $40,000


OA C

Solution:

We can let the average salary of the silver employees = s, and so the average salary of the gold employees = s + 56,000.

Since there are 120 silver employees and 160 gold employees, the average salary for the whole company is (120s + 160(s + 56,000)) / (120 + 160). Let’s simplify this expression:

(120s + 160(s + 56,000)) / (120 + 160)

(120s + 160s + 160 x 56,000) / 280

(280s + 160 x 56,000) / 280

280s/280 + 160 x (56,000/280)

s + 160 x 200

s + 32,000

Thus, the company’s average salary is $32,000 more than the average salary of the silver employees.

Answer: C