Word Percentage problem

by anonymous

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