Dalibor 3744

Milan and Dalibor have a total of 25 euros. Their amounts are in the ratio of 2:3. How many euros would Milan have to give to Dalibor so their payments were 1:4?

Correct answer:

x =  5 Eur

Step-by-step explanation:


m+d=25
3m = 2d
4(m-x) = 1·(d+x)

m+d=25
3·m = 2·d
4·(m-x) = 1·(d+x)

d+m = 25
2d-3m = 0
d-4m+5x = 0

Pivot: Row 1 ↔ Row 2
2d-3m = 0
d+m = 25
d-4m+5x = 0

Row 2 - 1/2 · Row 1 → Row 2
2d-3m = 0
2.5m = 25
d-4m+5x = 0

Row 3 - 1/2 · Row 1 → Row 3
2d-3m = 0
2.5m = 25
-2.5m+5x = 0

Row 3 + Row 2 → Row 3
2d-3m = 0
2.5m = 25
5x = 25


x = 25/5 = 5
m = 25/2.5 = 10
d = 0+3m/2 = 0+3 · 10/2 = 15

d = 15
m = 10
x = 5

Our linear equations calculator calculates it.



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