In a factory, two-thirds of the floor area is taken up by the production line. Out of the remaining floor area, three-fifths is taken up by office space. The rest is warehouse space. The warehouse space occupies 2000 m2. Work out the floor area of the production line.
Answers
Answer:
Answer:the floor area of the production line is 20000 m^2
Step-by-step explanation:
Let x represent the total area of the factory.
In the factory, two thirds of the floor are is taken up by the production line. This means that the area of the production line is 2/3 × x = 2x/3 m^2
The remaining floor area would be
x - 2x/3 = x/3 m^2
Out of the remaining floor area,three fifths is taken up by the office space. This means that the area taken up by the office space would be 3/5 × x/3 = x/5 m^2
The remaining area would be
x/3 - x/5 = 2x/15
The rest is warehouse space. The warehouse space occupies 2000m2. This means that
2x/15 = 2000
2x = 15 × 2000 = 30000
x = 30000/2 = 15000m^2
The floor area of the production line would be
(2 × 30000)/3 = 20000 m^2
The floor area of the production line is 10000m².
Given:
In a factory, two-thirds of the floor area is taken up by the production line. Out of the remaining floor area, three-fifths is taken up by office space. The rest is warehouse space. The warehouse space occupies 2000 m2.
To find:
Work out the floor area of the production line.
Solution:
Let x be the factory's overall floor space.
The production line occupies two thirds of the factory floor space. This indicates that the production line's area is 2/3 x = 2x/3 m².
The remaining floor space consists of total area - area for production line
x - 2x/3 = x/3 m²
Three-fifths of the remaining floor space is made up of office space. This indicates that the office space would occupy an area of 3/5 * x/3 = x/5 m².
What would be left over would be
x/3 - x/5 = 2x/15
The remaining space is warehouses. The 2000m² warehousing area is used. It follows that
2x/15 = 2000
2x = 15 × 2000 = 30000
x = 30000/2 = 15000m²
The production line's floor space would be 2x/3
(2 × 15000)/3 = 10000 m²
Hence, the answer is 10,000 m².
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