Three friends

Three friends divided the profit 104,650 CZK, so that for every 4 CZK, which got the first friend equals 5 crowns for second and for every 9 CZK, which got the second equals 16 CZK for third. Question: Who got the most and how much.

Correct result:

a =  23400
b =  29250
c =  52000

Solution:


104650 = a+b+c
5a = 4b
16b = 9c

104650 = a+b+c
5•a = 4•b
16•b = 9•c

a+b+c = 104650
5a-4b = 0
16b-9c = 0

a = 23400
b = 29250
c = 52000

Calculated by our linear equations calculator.



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