SOLUTION: in a week mike ran 8km farther than bill,while pete ran 1km less than 3 timesas far as bill. if pete ran 15km farther than mike, how many kilometers did bill run?

Algebra ->  Expressions-with-variables -> SOLUTION: in a week mike ran 8km farther than bill,while pete ran 1km less than 3 timesas far as bill. if pete ran 15km farther than mike, how many kilometers did bill run?      Log On


   



Question 174566: in a week mike ran 8km farther than bill,while pete ran 1km less than 3 timesas far as bill. if pete ran 15km farther than mike, how many kilometers did bill run?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call how far bill, mike, and pete ran in a week b,m, and p respecitively
:
m=b+8.......eq 1
p=3b-1......eq 2
p=m+15......eq 3
:
plug m's value of b+8 from eq 1 into eq 3
:
p=b+8+15---->p=b+23........take this value of p and plug it into eq 2
:
b+23=3b-1
:
2b=24
:
highlight%28b=12%29km run by Bill