Answer:
6 days
Explanation:
Let days worked = x
Let days idle = y
x + y = 40
20x - 4x = 656
Lets choose a variable to eliminate (We'll choose y)
(x + y = 40) 4
20x - 4y = 656
Distribute
4x + 4y = 160
20x - 4y = 656
The -4y cancels out the 4y and then we combine
24x = 816
Divide both sides by 24
24x/24 = 816/24
x = 34
Active days = 34
40 days - 34 active days = 6 idle days
Answer:he was idle for 6 days
Explanation:
Let x represent the number of days that the employee works.
Let y represent the number of days that the employee is idle.
If he works for 40 days, it means that
x + y = 40
An employee earns $20 for each day he works, and he forfeits $4.00 for each day that he is idle. If at the end of 40 days, the employee earns $656, it means that
20x - 4y = 656 - - - - - - - - - - 1
Substituting x = 40 - y into equation 1, it becomes
20(40 - y) - 4y = 656
800 - 20y - 4y = 656
- 20y - 4y = 656 - 800
- 24y = - 144
y = - 144/ -24
y = 6
Substituting y = 6 into x = 40 - y, it becomes
x = 40 - 6 = 34
