Dividing money

Thomas, Honza and Vasek are to divide 1220kč. Honza got 25% more than Thomas. Vasek 20% less than Thomas. How CZK each got?

Correct result:

a =  400
b =  500
c =  320

Solution:


a+b+c=1220
b = a+0.25a
c = a-0.20a

a+b+c=1220
b = a+0.25•a
c = a-0.20•a

a+b+c = 1220
1.25a-b = 0
0.8a-c = 0

a = 400
b = 500
c = 320

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