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Question
A factory required 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?
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Solution
Let the number of machines required to produce articles in 54 days be x. The following table is obtained:
| Number of machines | 42 | x |
| Number of days | 63 | 54 |
The more the number of machines, the less number of days that it will take to produce the given number of articles. Thus, this is a case of inverse proportion.
Therefore,
42 × 63 = 54 × x
⇒ `63/54 = x/42`
⇒ `x = (42xx63)/54`
⇒ x = 49
Hence, the required number of machines to produce the given number of articles in 54 days is 49.
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