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Question
A cement factory makes 7000 cement bags in 12 days with the help of 36 machines. How many bags can be made in 18 days using 24 machines?
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Solution
Let he required number of cement bags be x.
| Days | Machines | Cement bags |
| 12 | 36 | 7000 |
| 18 | 24 | x |
Number of days more ⇒ More cement bags.
∴ It is direct variation.
∴ The multiplying factor = `18/12`
Number of machines more ⇒ More cement bags.
∴ It is direct variation.
∴ The multiplying factor =`24/36`
∴ x = `7000 xx 18/12 xx 24/36`
`(7000 xx 18 xx 24)/(12 xx 36)`
x = 7000 cement bags
7000 cement bags can be made
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