The three best contestants are to divide the total prize of CZK 4,200. The second gets 20% more than the third. And the first one gets 200 CZK less than the second and the third together. How much will everyone get?

Correct answer:

a =  2000
b =  1200
c =  1000

Step-by-step explanation:

a+b+c= 4200
b = c+0.20c
a = (b+c)-200

a+b+c= 4200
b = c+0.20•c
a = (b+c)-200

a+b+c = 4200
b-1.2c = 0
a-b-c = -200

a = 2000
b = 1200
c = 1000

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