SOLUTION: Lary, Camille, and 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. T

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Lary, Camille, and 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. T      Log On


   

Question 1001929: Lary, Camille, and 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 Simone. How far did each person walk?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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S=miles Simone walked
L=miles Larry walked=S+2mi
C=miles Camille walked=2L=2(S+2mi)
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S+L+C=34 mi
S+(S+2)+2(S+2)=34 mi
S+(S+2)+(2S+4)=34 mi
4S+6=34 mi
4S=28 mi
S=7 mi
ANSWER 1: Simone walked 7 miles.
L=S+2 mi=7 mi+2 mi=9 mi
ANSWER 2: Larry walked 9 miles.
C=2L=2(9 mi)=18 mi
ANSWER 3: Camille walked 18 miles.
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CHECK:
S+L+C=34 mi
7 mi+9mi+18mi=34 mi
34 mi=34 mi