Traveled 7541

The tourist covered 47 km in three days. The first day ran 20 percent more than the second day, and the third day was 4 km less than the second day. How many km has he traveled each day?

Correct answer:

a =  19.125
b =  15.9375
c =  11.9375

Step-by-step explanation:


a+b+c=47
a = b+0.20b
c=b-4

a+b+c=47
a = b+0.20·b
c=b-4

a+b+c = 47
a-1.2b = 0
b-c = 4

Row 2 - Row 1 → Row 2
a+b+c = 47
-2.2b-c = -47
b-c = 4

Row 3 - 1/-2.2 · Row 2 → Row 3
a+b+c = 47
-2.2b-c = -47
-1.455c = -17.364


c = -17.36363636/-1.45454545 = 11.9375
b = -47+c/-2.2 = -47+11.9375/-2.2 = 15.9375
a = 47-b-c = 47-15.9375-11.9375 = 19.125

a = 153/8 = 19.125
b = 255/16 = 15.9375
c = 191/16 = 11.9375

Our linear equations calculator calculates it.



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