Kilometers 22721

Pupils walked 49 km in three days. The next day they ran 20% more than the first day, and on the third day, they ran 2 km less than the second. How many kilometers have they traveled each day?

Correct answer:

a =  15
b =  18
c =  16

Step-by-step explanation:


a+b+c=49
b = 1.20·a
c = b-2

a+b+c = 49
1.2a-b = 0
b-c = 2

Pivot: Row 1 ↔ Row 2
1.2a-b = 0
a+b+c = 49
b-c = 2

Row 2 - 1/1.2 · Row 1 → Row 2
1.2a-b = 0
1.833b+c = 49
b-c = 2

Row 3 - 1/1.83333333 · Row 2 → Row 3
1.2a-b = 0
1.833b+c = 49
-1.545c = -24.727


c = -24.72727273/-1.54545455 = 16
b = 49-c/1.83333333 = 49-16/1.83333333 = 18
a = 0+b/1.2 = 0+18/1.2 = 15

a = 15
b = 18
c = 16

Our linear equations calculator calculates it.



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