In a boutique that sells jackets, 250 white jackets were sold and 10% of the remaining jackets that were sold were brown. Of the leftover, 50% of the jackets sold were purple jackets and the rest were pink jackets. Given that the number of pink jackets sold was 20% of the total number of jackets sold, how many brown and white jackets were sold altogether?
10% = ¹⁰₁₀₀ = ¹₁₀
50% = ⁵⁰₁₀₀ = ¹₂
20% = ²⁰₁₀₀ = ¹₅

White	Brown	Purple	Pink
250	1x2	9x2
		1x9	1x9
4x9			1x9
25 u	2 u	9 u	9 u

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

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

Number of white jackets
= 36 u - 2 u - 9 u
= 25 u

25 u = 250

1 u = 250 ÷ 25 = 10

Number of brown and white jackets
= 2 u + 250
= (2 x 10) + 250
= 20 + 250
= 270

Answer(s): 270