Posted by **???E** on Tuesday, December 30, 2008 at 10:11pm.

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 -
**bobpursley**, Tuesday, December 30, 2008 at 10:19pm
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 -
**ehelptutor**, Tuesday, December 30, 2008 at 10:21pm
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 -
**???E**, Tuesday, December 30, 2008 at 10:32pm
thanks

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