A manager has $ 6,000 budgeted for raises for 4 full-time and 2 part-time employees. Each of the full-time employees receives the same raise, which is twice the raise that each of the part-time employees receives. What is the amount of the raise that each full-time employee receives?

Question: A manager has $ 6,000 budgeted for raises for 4 full-time and 2 part-time employees. Each of the full-time employees receives the same raise, which is twice the raise that each of the part-time employees receives. What is the amount of the raise that each full-time employee receives?

Solution:
Let each part time employee receive a raise of $ y
Then each full time employee receives a raise of $ 2y
There are 4 full- time employees and 2 part- time employees
The total budget is $6000
So, the equation is
4(2y) + 2y = 6000
⇒ 10y = 6000
∴ y = 600

∴ Raise for each full-time employee = 2y = 2 × 600 = 1200