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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7

A toy company requires 36 machines to produce car toys in 54 days. How many machines would be required to produce the same number of car toys in 81 days? - Mathematics

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Question

A toy company requires 36 machines to produce car toys in 54 days. How many machines would be required to produce the same number of car toys in 81 days?

Sum

Solution

Let the required number of machines be x

Number of machines 36 x
Number of days 54 81

As the number of machines increases number of days required decreases.

∴ They are in inverse proportion,

x1y1 = x2 y2

36 × 54 = x × 81

x = `(36 xx 54)/81`

x = 24

∴ 24 machines would be required

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Chapter 4: Direct and Inverse Proportion - Exercise 4.2 [Page 80]

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Samacheer Kalvi Mathematics - Term 1 [English] Class 7 TN Board
Chapter 4 Direct and Inverse Proportion
Exercise 4.2 | Q 9 | Page 80
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