Bob and Bobek

Bobek has two cabbages and five carrots. Bob has two cabbages and nine carrots. When Bobek stepped on the scale weight 5800 g, and Bob weighed 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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