How many metres of the damaged material did I buy?

I bought 12 metres of curtain. Some of the material had a slight flaw in it and cost R7,00 per metre instead of the normal R8,00 per metre. If I paid R98,50 altogether, how many metres of the damaged material did I buy?
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1 Answer

Let F be the number of metres of damaged material, then 12-F metres is undamaged.

So equating costs: 7F+8(12-F)=R98.50, 7F+96-8F=98.50. But this gives us F=-2.50m!

It looks like there is an error in the question.  I think the cost of the material was R93.50, not R98.50. It must be less than R96.

 

by Top Rated User (1.2m points)

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