posted by ???E .
in a week Mike ran 8km 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?
put them in standard form..
Subtract the last from the middle..
Now subtract the first equation.
check me. If correct, then finish up the others.
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?
Let m be how far Mike ran in km.
Let b be how far Bill ran in km.
Let p be how far Pete ran in km.
The given information is (1), (2), and (3).
(1) m = 8+b
(2) p = 3b – 1
(3) p = 15+m Use (1) to replace m in (3)
(4) p = 15+8+b Use (2) to replace p in (4)
(5) 3b – 1 = 15+8+b Subtract b from both sides. Add 1 to both sides.
(6) 2b = 24 Divide both sides by 2
(7) b = 12
Bill ran 12 km.