Originally Posted by

**deleted poster** 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 *= 3*b *– 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) 3*b *– 1 = 15+8+*b *Subtract *b *from both sides. Add 1 to both sides.

(6) 2*b *= 24 Divide both sides by 2

(7) *b *= 12

Bill ran 12 km.