Three friends

Danica, Lenka, and Dalibor have 96 kg altogether. Lenka weighs 75% more than Dalibor, and Danica weighs 6 kg more than Dalibor. Determine the weight of Danice, Lenka, and Dalibor.

Correct answer:

a =  30
b =  42
c =  24

Step-by-step explanation:


a+b+c=96
b = 1.75c
a = 6+c

a+b+c=96
b = 1.75·c
a = 6+c

a+b+c = 96
b-1.75c = 0
a-c = 6

Row 3 - Row 1 → Row 3
a+b+c = 96
b-1.75c = 0
-b-2c = -90

Row 3 + Row 2 → Row 3
a+b+c = 96
b-1.75c = 0
-3.75c = -90


c = -90/-3.75 = 24
b = 0+1.75c = 0+1.75 · 24 = 42
a = 96-b-c = 96-42-24 = 30

a = 30
b = 42
c = 24

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