Components 61904

Part 1 is half. 2nd part is 2/3 of 1/2. 3rd component weighs 3 kg. How much do the individual components weigh, and how much is it?

Correct answer:

a =  9 kg
b =  6 kg
c =  3 kg
s =  18 kg

Step-by-step explanation:

a=(a+b+c)/2 b=2/3⋅ 1/2⋅ (a+b+c) c=3  a−b−c=0 2a−4b+2c=0 c=3  Pivot:Row1↔Row2 2a−4b+2c=0 a−b−c=0 c=3  Row2−21​⋅ Row1→Row2 2a−4b+2c=0 b−2c=0 c=3  c=13​=3 b=0+2c=0+2⋅ 3=6 a=20+4b−2c​=20+4⋅ 6−2⋅ 3​=9  a=9 b=6 c=3
s=a+b+c=9+6+3=18 kg

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