How far did each person walk?

Question

EXERCISE Larry,Camille, Simone are keeping track of how far they walk each day. At the end of the week,they combined their distances and found that they had walked 34 miles in total.They also learned that camille walked twice as far as Larry,and that Larry walked 2 more miles than aimone. how far did each person walk?

Answer 1

Let Ds = miles walked by Simone

then Ds + 2 = miles walked by Larry

and 2(Ds + 2) = miles waked by Camille

 

our equation is 34m = Ds + (Ds + 2 ) + 2(Ds + 2)

expanding, we get 34m = Ds + Ds + 2 + 2Ds + 4

combining, we get 34m = 4Ds + 6

solving, we get 7m = Ds

 

So, Simone walked 7 miles, Larry walked 7 + 2 = 9 miles, and Camille walked 34 -7 - 9 = 18 miles

 

Proof: 34m = 7 + (7 + 2 ) + 2(7 + 2) = 7 + 9 + 18