Determine 3374

Pavol, Edita and Juraj have a total of 1243 euros. Pavol has 200 euros more than Edita, Juraj has 457 euros less than Edita. Determine how much each has.

Correct answer:

d =  500
j =  43
p =  700

Step-by-step explanation:


p+d+j=1243
p=200+d
j=d-457

d+j+p = 1243
d-p = -200
d-j = 457

Row 2 - Row 1 → Row 2
d+j+p = 1243
-j-2p = -1443
d-j = 457

Row 3 - Row 1 → Row 3
d+j+p = 1243
-j-2p = -1443
-2j-p = -786

Pivot: Row 2 ↔ Row 3
d+j+p = 1243
-2j-p = -786
-j-2p = -1443

Row 3 - -1/-2 · Row 2 → Row 3
d+j+p = 1243
-2j-p = -786
-1.5p = -1050


p = -1050/-1.5 = 700
j = -786+p/-2 = -786+700/-2 = 43
d = 1243-j-p = 1243-43-700 = 500

d = 500
j = 43
p = 700

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