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Fitness training: Carly is training for a triathlon. In her training routine each week, she runs 7 times as far as she swims, and she bikes 3 times as far as she runs. One week she trained a total of 232 miles. How far did she run that week. 

 Nov 27, 2018
 #1
avatar+18324 
+2

Given    7  r/s   3  b/r      then   21   b/s

 

232 = r + b + s

232 = 7s + 21 s +s      s  then equals 8 mi       7s = r = 56 mi       (and bike = 3r=168mi)

 Nov 27, 2018
edited by ElectricPavlov  Nov 27, 2018
 #2
avatar+100513 
+1

Thanks, EP.....Here's another way just using one variable

 

Let the distance she swims = D

Let the distancvce she runs = 7D

Let the distance she bikes = 3(7D)

 

 

So

 

D + 7D + 3(7D)  = 232    simplify

 

29D  =  232     divide both sides by 29

 

D = 8

 

So....she runs   7D  =  7(8)  =   56 miles

 

 

 

cool cool cool

 Nov 27, 2018
edited by CPhill  Nov 27, 2018

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