•A farmer decides to build a fence. •Enough posts were bought to have one every 8 metres. •However, 5 posts were lost in a freak accident involving a pelican, a rich tea biscuit and a 9-volt battery. •The fence was still able to be built, but with posts at 10 metres apart.

How long is the fence?

32m

8m 8m 8m 8m

5 posts. 4 x 8m in length

Distance = 8(x – 1)Distance = 10(x – 1 – 5) = 10(x – 6)8(x – 1) = 10(x – 6)8x – 8 = 10x – 6052 = 2x26 = xDistance = 8(26 – 1) = 200 metres