In a boutique that sells dresses, 144 grey dresses were sold and 10% of the remaining dresses that were sold were black. Of the leftover, 50% of the dresses sold were silver dresses and the rest were yellow dresses. Given that the number of yellow dresses sold was 25% of the total number of dresses sold, how many black and grey dresses were sold altogether?
10% = ¹⁰₁₀₀ = ¹₁₀
50% = ⁵⁰₁₀₀ = ¹₂
25% = ²⁵₁₀₀ = ¹₄

Grey	Black	Silver	Yellow
144	1x2	9x2
		1x9	1x9
3x9			1x9
16 u	2 u	9 u	9 u

The total number of silver and yellow shirts is the combined repeated identity. Make the total number of silver and yellow shirts the same. LCM of 9 and 2 is 18.

The number of yellow shirts is repeated. Make the number of yellow shirts the same. LCM of 9 and 1 is 9.

Number of grey dresses
= 27 u - 2 u - 9 u
= 16 u

16 u = 144

1 u = 144 ÷ 16 = 9

Number of black and grey dresses
= 2 u + 144
= (2 x 9) + 144
= 18 + 144
= 162

Answer(s): 162