Bob and Bobek

Bobek has 2 cabbages and 5 carrots, Bob has 2 cabbages and 9 carrots. When Bobek stepped on the scale weight 5800 g and when Bob weight 8960 g. Actual Bob weight is 8 kg and Bobek 5 kg. How much weighs one carrot?

Correct answer:

m =  40 g

Step-by-step explanation:


2z + 5m = 5800-5000
2z + 9m = 8960-8000

2·z + 5·m = 5800-5000
2·z + 9·m = 8960-8000

5m+2z = 800
9m+2z = 960

Pivot: Row 1 ↔ Row 2
9m+2z = 960
5m+2z = 800

Row 2 - 5/9 · Row 1 → Row 2
9m+2z = 960
0.89z = 266.67


z = 266.66666667/0.88888889 = 300
m = 960-2z/9 = 960-2 · 300/9 = 40

m = 40
z = 300

Our linear equations calculator calculates it.



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