Combined savings

Pavel has half as much savings as Standa but the same savings as Rado. Standa saved CZK 120 less than Rado.

What savings do all three boys have together?

A) less than CZK 600
B) CZK 600
C) CZK 960
D) 1200 CZK
E) another number of crowns

Final Answer:

x =  960 Kc

Step-by-step explanation:


x=p+s+r
p=1.5 s
p=r
s = r-120

x=p+s+r
p=1.5·s
p=r
s = r-120

p+r+s-x = 0
p-1.5s = 0
p-r = 0
r-s = 120

Row 2 - Row 1 → Row 2
p+r+s-x = 0
-r-2.5s+x = 0
p-r = 0
r-s = 120

Row 3 - Row 1 → Row 3
p+r+s-x = 0
-r-2.5s+x = 0
-2r-s+x = 0
r-s = 120

Pivot: Row 2 ↔ Row 3
p+r+s-x = 0
-2r-s+x = 0
-r-2.5s+x = 0
r-s = 120

Row 3 - -1/-2 · Row 2 → Row 3
p+r+s-x = 0
-2r-s+x = 0
-2s+0.5x = 0
r-s = 120

Row 4 - 1/-2 · Row 2 → Row 4
p+r+s-x = 0
-2r-s+x = 0
-2s+0.5x = 0
-1.5s+0.5x = 120

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


x = 120/0.125 = 960
s = 0-0.5x/-2 = 0-0.5 · 960/-2 = 240
r = 0+s-x/-2 = 0+240-960/-2 = 360
p = 0-r-s+x = 0-360-240+960 = 360

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

Our linear equations calculator calculates it.

Try another example


Help us improve the example. If you find a mistake, let us know. Thank you!







Tips for related online calculators
Do you have a linear equation or system of equations and are looking for a solution? Or do you have a quadratic equation?

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

algebrabasic operations and conceptsGrade of the word problem

Related math problems and questions: