Scouts

Three scouts went on a three-day trip. On the second day went 4 km more than the first day. The third day went two times less than the first day. They went along 54 km. How many kilometers went every day together?

Correct answer:

a =  20 km
b =  24 km
c =  10 km

Step-by-step explanation:


b = 4+a
c = a/2
a+b+c = 54

a-b = -4
a-2c = 0
a+b+c = 54

Row 2 - Row 1 → Row 2
a-b = -4
b-2c = 4
a+b+c = 54

Row 3 - Row 1 → Row 3
a-b = -4
b-2c = 4
2b+c = 58

Pivot: Row 2 ↔ Row 3
a-b = -4
2b+c = 58
b-2c = 4

Row 3 - 1/2 · Row 2 → Row 3
a-b = -4
2b+c = 58
-2.5c = -25


c = -25/-2.5 = 10
b = 58-c/2 = 58-10/2 = 24
a = -4+b = -4+24 = 20

a = 20
b = 24
c = 10

Our linear equations calculator calculates it.



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