Kilometers 8215

The scout troop covered a total of 28 km on the three-day trip. On Sunday, he walked twice as long as on Friday, and on Saturday, he walked 4 km longer than on Friday. How many kilometers did the scout troop walk each day?

Correct answer:

a =  6
b =  10
c =  12

Step-by-step explanation:


a+b+c=28
c = 2a
b = 4+a

a+b+c=28
c = 2·a
b = 4+a

a+b+c = 28
2a-c = 0
a-b = -4

Pivot: Row 1 ↔ Row 2
2a-c = 0
a+b+c = 28
a-b = -4

Row 2 - 1/2 · Row 1 → Row 2
2a-c = 0
b+1.5c = 28
a-b = -4

Row 3 - 1/2 · Row 1 → Row 3
2a-c = 0
b+1.5c = 28
-b+0.5c = -4

Row 3 + Row 2 → Row 3
2a-c = 0
b+1.5c = 28
2c = 24


c = 24/2 = 12
b = 28-1.5c = 28-1.5 · 12 = 10
a = 0+c/2 = 0+12/2 = 6

a = 6
b = 10
c = 12

Our linear equations calculator calculates it.



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