SOLUTION: In a week, Mike ran 8 km farther than bill, while pete ran 1 km less than 3 times as far as bill. If Pete ran 15 km farther than mike, how many kilometers did bill run?

Question 983683: In a week, Mike ran 8 km farther than bill, while pete ran 1 km less than 3 times as far as bill. If Pete ran 15 km farther than mike, how many kilometers did bill run?
Answer by Timnewman(323) (Show Source): You can put this solution on YOUR website!
Hi dear!
Let m=mike
P=pete
B=bill
From the first sentence,if mike ran 8km more than Bill then,
m=8+B------(1)
if pete ran 1km less than three times as Bill,then,
P=3B-1------(2)
From your last sentence,
pete ran 15km further than mike,then,
P=15+M-----(3)
now,
From equ (3),
M=P-15-----(4)
put equ (4) in (1)
P-15=8+B
P=8+15+B
P=23+B-----(5)
Put equ (5) in (2)
23+B=3B-1
collect like terms
3B-B=23+1
2B=24
divide both sides by 2
B=12
Bill ran 12km
HOPE THIS HELPS;
------TIMNEWMAN-----
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