What 3 equations can be made from this

Question

Loretta, Camille, and Simone are Keeping track of how far the walk each day. At the end of the week, they combined their distances and found it said they walked 34 miles in total. They also learned that Camille walked twice as far as Loretta, and that Loretta walked two more miles than Simone. How far did each person walk?

Answer 1

Let Loretta = L, Camille = C and Simone = S.

S

L = S + 2

2L = 2(S + 2)

S+L+C = 34

To break it down, S is the amount of miles Simone walked. We know Loretta walked two more miles than Simone, denoted as L = S + 2. Lastly, Camille walked twice as much as Loretta AND two miles more than Simone, so 2L = 2(S + 2)

S + (S + 2) + 2(S + 2) =34. Once you combine like terms, solve for S, which means Simone walked 7 miles. Therefore, Loretta walked 9 miles. Since Camille walked twice as much as Loretta, Camille walked 18 miles.

Answer 2

Let x = number of miles for Loretta, y = number of miles for Camille, and z = number of miles for Simone

Then: x + y + z = 34

y = 2x

x = z + 2

So, x + 2x + (x - 2) = 34

4x = 36

x = 9, y = 18, z = 7

Loretta walked 9 miles, Camille walked 18 miles, and Simone walked 7 miles.