Students

Students Aleš, Bohouš, Cyril, and Dušan were on a brigade. They divided the total revenue as follows: Aleš received two-fifths of the revenue, Bohouš received one-sixth of the revenue, Cyril received three-tenths of the revenue, and Dušan received the rest of CZK 6,480. How many crowns did everyone receive?

Correct result:

A =  19440
B =  8100
C =  14580
D =  6480

Solution:

A=2/5•(A+B+C+D)
B = 1/6•(A+B+C+D)
C = 3/10•(A+B+C+D)
D = 6480

3A-2B-2C-2D = 0
A-5B+C+D = 0
3A+3B-7C+3D = 0
D = 6480

A = 19440
B = 8100
C = 14580

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