# algebra

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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?

• algebra - ,

M=B+8
P+1=3B
P-15=M

put them in standard form..

M-B=8
P-3B=-1
P-M=15

Subtract the last from the middle..
-3B+M=-16
Now subtract the first equation.
-2B=-24
B=12
check me. If correct, then finish up the others.

• algebra - ,

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.

• algebra - ,

thanks

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