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Question

If 5 tailors can stitch 60 pants working 10 hours a day, then how many pants can be made when 15 tailors work for 30 hours a day? (2 marks)


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Solution

More tailors means more pants can be made, so it is in direct proportion. The proportion is 5:15∷60:x

If more hours spend, then more pants can be made, so it is in direct proportion. The proportion is 10:30∷60:x
(1 mark)

We know that the product of extremes = the product of means.

5×10×x=15×60×30

x=(15×60×30)/(5×10)=3×6×30

=540
(1 mark)


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