Receives 17653

Honza, Lukáš and David are to split CZK 5,400 so that Lukáš receives CZK 400 more than Honza and David CZK 400 less than Honza. How much will each of them receive?

Correct answer:

d =  1400
h =  1800
l =  2200

Step-by-step explanation:


h+l+d=5400
l=400+h
d=h-400

d+h+l = 5400
h-l = -400
d-h = -400

Row 3 - Row 1 → Row 3
d+h+l = 5400
h-l = -400
-2h-l = -5800

Pivot: Row 2 ↔ Row 3
d+h+l = 5400
-2h-l = -5800
h-l = -400

Row 3 - 1/-2 · Row 2 → Row 3
d+h+l = 5400
-2h-l = -5800
-1.5l = -3300


l = -3300/-1.5 = 2200
h = -5800+l/-2 = -5800+2200/-2 = 1800
d = 5400-h-l = 5400-1800-2200 = 1400

d = 1400
h = 1800
l = 2200

Our linear equations calculator calculates it.



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