Weekend Cycling Distance

Peter cycled 24 kilometers on the weekend, twice as many on Saturday and Sunday. Thus, he cycled 24 kilometers more on Saturday than on Sunday.

Final Answer:

x =  8 km

Step-by-step explanation:


s+n=24
s = 2n
x = s-n

s+n=24
s = 2·n
x = s-n

n+s = 24
2n-s = 0
n-s+x = 0

Pivot: Row 1 ↔ Row 2
2n-s = 0
n+s = 24
n-s+x = 0

Row 2 - 1/2 · Row 1 → Row 2
2n-s = 0
1.5s = 24
n-s+x = 0

Row 3 - 1/2 · Row 1 → Row 3
2n-s = 0
1.5s = 24
-0.5s+x = 0

Row 3 - -0.5/1.5 · Row 2 → Row 3
2n-s = 0
1.5s = 24
x = 8


x = 8/1 = 8
s = 24/1.5 = 16
n = 0+s/2 = 0+16/2 = 8

n = 8
s = 16
x = 8

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