Determine 3831

Dano has 2x more money than Milos. Jarka has 4 euros more than Miloš. They have a total of 52 euros. Determine how much money Dano, Miloš, and Jarka have.

Correct answer:

d =  19
j =  13.5
m =  9.5

Step-by-step explanation:


d=2m
j=4+m
d+m+j = 42

d=2·m
j=4+m
d+m+j = 42

d-2m = 0
j-m = 4
d+j+m = 42

Row 3 - Row 1 → Row 3
d-2m = 0
j-m = 4
j+3m = 42

Row 3 - Row 2 → Row 3
d-2m = 0
j-m = 4
4m = 38


m = 38/4 = 9.5
j = 4+m = 4+9.5 = 13.5
d = 0+2m = 0+2 · 9.5 = 19

d = 19
j = 27/2 = 13.5
m = 19/2 = 9.5

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