Bonuses

Five company employees were paid bonuses, so each successor received 550 USD less than the previous employee. How much did everyone get if a total of USD 11,000 has paid?

Correct answer:

a =  3300
b =  2750
c =  2200
d =  1650
f =  1100

Step-by-step explanation:


a+b+c+d+f = 11000
b = a-550
c = b-550
d = c-550
f = d-550

a+b+c+d+f = 11000
a-b = 550
b-c = 550
c-d = 550
d-f = 550

Row 2 - Row 1 → Row 2
a+b+c+d+f = 11000
-2b-c-d-f = -10450
b-c = 550
c-d = 550
d-f = 550

Row 3 - 1/-2 · Row 2 → Row 3
a+b+c+d+f = 11000
-2b-c-d-f = -10450
-1.5c-0.5d-0.5f = -4675
c-d = 550
d-f = 550

Row 4 - 1/-1.5 · Row 3 → Row 4
a+b+c+d+f = 11000
-2b-c-d-f = -10450
-1.5c-0.5d-0.5f = -4675
-1.33333d-0.33333f = -2566.66667
d-f = 550

Row 5 - 1/-1.33333333 · Row 4 → Row 5
a+b+c+d+f = 11000
-2b-c-d-f = -10450
-1.5c-0.5d-0.5f = -4675
-1.33333d-0.33333f = -2566.66667
-1.25f = -1375


f = -1375/-1.25 = 1100
d = -2566.66666667+0.33333333333333f/-1.33333333 = -2566.66666667+0.33333333 · 1100/-1.33333333 = 1650
c = -4675+0.5d+0.5f/-1.5 = -4675+0.5 · 1650+0.5 · 1100/-1.5 = 2200
b = -10450+c+d+f/-2 = -10450+2200+1650+1100/-2 = 2750
a = 11000-b-c-d-f = 11000-2750-2200-1650-1100 = 3300

a = 3300
b = 2750
c = 2200
d = 1650
f = 1100

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Looking for help with calculating arithmetic mean?
Looking for a statistical calculator?
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: