In a factory, two-thirds of the floor area is taken up by the production line. Out of the taken up by the remaining floor area, three-fifths is taken up by office space. The rest is warehouse space occupies 2000m2. Work out the floor area of the production line.
Answers
Answer:
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Step-by-step explanation:
It may help to draw a diagram 
(this is an attempt at a solution, so be sure to have a crack at it first  )
So you know the production line takes up 2/3 of the total area. That means there is 1/3 of the area remaining.
3/5 of the remaining area is office - that means you work out 3/5 of 1/3 by doing 3/5 x 1/3 = 3/15. This means the office has an area 3/15 of the total area.
You can rewrite the area of the production line over 15 to get common denominators - so the area of the production line would be 10/15 of the total area.
You can work out the area left over (which is the warehouse) by doing 1 - (production lines' area + office area). This is 1 - (10/15 + 3/15) = 2/15. So the warehouse's area is 2/15 of the total area.
You know that 2/15 of the area is 2000m, therefore 1/15 of the area is 1000m.
The production line has 10/15 of the area, hence (as 10/15 is ten times 1/15) the area of the production lines is 1000 x 10 = 10000m squared.
Hope this helped! Sorry if it wasn't clear!!