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A farmer decides to build a fence. Enough posts were bought to have one every 8 metres.

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.

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A farmer decides to build a fence. Enough posts were bought to have one every 8 metres.

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  1. 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?

  2. 8m 8m 8m 8m 32m 5 posts. 4 x 8m in length

  3. Distance = 8(x – 1) Distance = 10(x – 1 – 5) = 10(x – 6) 8(x – 1) = 10(x – 6) 8x – 8 = 10x – 60 52 = 2x 26 = x Distance = 8(26 – 1) = 200 metres

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