8. A department has a total of 22,000 units of stock. 25% of the garments are black; 10% of the garments are size 14.

a) How many black garments are there? b) How many size 14 garments are there? c) If 10% of the black garments are size 14,how many garments are black and size 14?

Solution

25% = 25 per 100 = 250 per 1000 For 22,000 just multiply 250 by 22 250 times 22 = 250 times(10 + 10 + 2) = 2500 + 2500 + 500 = 5000 + 500 = 5500 So, there are 5500 black garments

10% = 10 per 100 = 100 per 1000 For 22,000 just multiply 100 by 22 100 times 22 = 2200

If 10% or 10 per 100 of the black garments are size 14, then 100 per 1000 are size 14. 500 per 5000 are size 14. What is 10% of 500? 10% = 10 per 100, so 50 per 500. So 550 of the black garments are size 14

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