Daniel 3833

Dano has 50% more money than Milos. Jarka has 4 euros more than Miloš. They have a total of 52 euros. Find how much money Daniel, Miloš, and Jarka have.

Correct answer:

d =  20.5714
j =  17.7143
m =  13.7143

Step-by-step explanation:


d=m+m/2
j = 4+m
d+m+j=52

2d-3m = 0
j-m = 4
d+j+m = 52

Row 3 - 1/2 · Row 1 → Row 3
2d-3m = 0
j-m = 4
j+2.5m = 52

Row 3 - Row 2 → Row 3
2d-3m = 0
j-m = 4
3.5m = 48


m = 48/3.5 = 13.71428571
j = 4+m = 4+13.71428571 = 17.71428571
d = 0+3m/2 = 0+3 · 13.71428571/2 = 20.57142857

d = 144/7 ≈ 20.571429
j = 124/7 ≈ 17.714286
m = 96/7 ≈ 13.714286

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