Savings

Paul has by half greater savings than half Stanley, but the same savings as Radek. Staney save 120 CZK less than Radek. What savings have three boys together?

Correct answer:

x =  960 Kc

Step-by-step explanation:


p=s+s/2
p=r
s = r-120
x=p+s+r

2p-3s = 0
p-r = 0
r-s = 120
p+r+s-x = 0

Row 2 - 1/2 · Row 1 → Row 2
2p-3s = 0
-r+1.5s = 0
r-s = 120
p+r+s-x = 0

Row 4 - 1/2 · Row 1 → Row 4
2p-3s = 0
-r+1.5s = 0
r-s = 120
r+2.5s-x = 0

Row 3 + Row 2 → Row 3
2p-3s = 0
-r+1.5s = 0
0.5s = 120
r+2.5s-x = 0

Row 4 + Row 2 → Row 4
2p-3s = 0
-r+1.5s = 0
0.5s = 120
4s-x = 0

Pivot: Row 3 ↔ Row 4
2p-3s = 0
-r+1.5s = 0
4s-x = 0
0.5s = 120

Row 4 - 0.5/4 · Row 3 → Row 4
2p-3s = 0
-r+1.5s = 0
4s-x = 0
0.125x = 120


x = 120/0.125 = 960
s = 0+x/4 = 0+960/4 = 240
r = 0-1.5s/-1 = 0-1.5 · 240/-1 = 360
p = 0+3s/2 = 0+3 · 240/2 = 360

p = 360
r = 360
s = 240
x = 960

Our linear equations calculator calculates it.

Try another example


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 are looking for calculator system of linear equations?

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

algebraUnits of physical quantitiesGrade of the word problem

Related math problems and questions: