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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 8

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? - Mathematics

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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?

Sum

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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Compound Variation
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Chapter 4: Life Mathematics - Exercise 4.4 [Page 150]

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Samacheer Kalvi Mathematics [English] Class 8 TN Board
Chapter 4 Life Mathematics
Exercise 4.4 | Q 3 | Page 150

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