Savings distribution

Petr had 20% more savings than Jana, who saved half of what Markéta did. Together they saved CZK 2,520. How much CZK did each of them save?

Final Answer:

j =  600
m =  1200
p =  720

Step-by-step explanation:


p=1.20·j
j = m/2
2520 = p+m+j

1.2j-p = 0
2j-m = 0
j+m+p = 2520

Pivot: Row 1 ↔ Row 2
2j-m = 0
1.2j-p = 0
j+m+p = 2520

Row 2 - 1.2/2 · Row 1 → Row 2
2j-m = 0
0.6m-p = 0
j+m+p = 2520

Row 3 - 1/2 · Row 1 → Row 3
2j-m = 0
0.6m-p = 0
1.5m+p = 2520

Pivot: Row 2 ↔ Row 3
2j-m = 0
1.5m+p = 2520
0.6m-p = 0

Row 3 - 0.6/1.5 · Row 2 → Row 3
2j-m = 0
1.5m+p = 2520
-1.4p = -1008


p = -1008/-1.4 = 720
m = 2520-p/1.5 = 2520-720/1.5 = 1200
j = 0+m/2 = 0+1200/2 = 600

j = 600
m = 1200
p = 720

Our linear equations calculator calculates it.

Try another example


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







Tips for related online calculators
Our percentage calculator will help you quickly and easily solve a variety of common percentage-related problems.
Do you have a system of equations and are looking for calculator system of linear equations?

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

algebrabasic operations and conceptsUnits of physical quantitiesGrade of the word problem

Related math problems and questions: