Dividing money

Imrich, Daniel and Dezider shared an unknown amount in the ratio 1:2:4, where Dezider received 750 euros more than Imrich and Daniel got half as much as Dezider. Determine an unknown amount of money and determine the amounth that got Imrich, Daniel and Dezider.

Correct result:

a =  1750
b =  250
c =  500
d =  1000

Solution:

a=b+c+d
b=1/(1+2+4)•a
c=2/(1+2+4)•a
d = 750+b

a-b-c-d = 0
0.142857a-b = 0
0.285714a-c = 0
b-d = -750

a = 1750
b = 250
c = 500
d = 1000

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