Subsequent 4290

The bonuses were paid to four people in sequence, with each subsequent person receiving double what the previous person received. How many crowns in premiums did each person receive, if a total of 2625 CZK was paid for all premiums?

Correct answer:

a =  175
b =  350
c =  700
d =  1400

Step-by-step explanation:


a+b+c+d=2625
b= 2a
c = 2b
d = 2c

a+b+c+d=2625
b= 2·a
c = 2·b
d = 2·c

a+b+c+d = 2625
2a-b = 0
2b-c = 0
2c-d = 0

Pivot: Row 1 ↔ Row 2
2a-b = 0
a+b+c+d = 2625
2b-c = 0
2c-d = 0

Row 2 - 1/2 · Row 1 → Row 2
2a-b = 0
1.5b+c+d = 2625
2b-c = 0
2c-d = 0

Pivot: Row 2 ↔ Row 3
2a-b = 0
2b-c = 0
1.5b+c+d = 2625
2c-d = 0

Row 3 - 1.5/2 · Row 2 → Row 3
2a-b = 0
2b-c = 0
1.75c+d = 2625
2c-d = 0

Pivot: Row 3 ↔ Row 4
2a-b = 0
2b-c = 0
2c-d = 0
1.75c+d = 2625

Row 4 - 1.75/2 · Row 3 → Row 4
2a-b = 0
2b-c = 0
2c-d = 0
1.875d = 2625


d = 2625/1.875 = 1400
c = 0+d/2 = 0+1400/2 = 700
b = 0+c/2 = 0+700/2 = 350
a = 0+b/2 = 0+350/2 = 175

a = 175
b = 350
c = 700
d = 1400

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
Do you have a system of equations and looking for calculator system of linear equations?

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

Units of physical quantities:

Grade of the word problem:

Related math problems and questions: