In a boutique that sells skirts, 550 brown skirts were sold and 50% of the remaining skirts that were sold were green. Of the leftover, 40% of the skirts sold were gold skirts and the rest were purple skirts. Given that the number of purple skirts sold was 5% of the total number of skirts sold, how many green and brown skirts were sold altogether?
50% = ⁵⁰₁₀₀ = ¹₂
40% = ⁴⁰₁₀₀ = ²₅
5% = ⁵₁₀₀ = ¹₂₀

Brown	Green	Gold	Purple
550	1x5	1x5
		2x1	3x1
19x3			1x3
50 u	5 u	2 u	3 u

The total number of gold and purple shirts is the combined repeated identity. Make the total number of gold and purple shirts the same. LCM of 1 and 5 is 5.

The number of purple shirts is repeated. Make the number of purple shirts the same. LCM of 3 and 1 is 3.

Number of brown skirts
= 57 u - 5 u - 2 u
= 50 u

50 u = 550

1 u = 550 ÷ 50 = 11

Number of green and brown skirts
= 5 u + 550
= (5 x 11) + 550
= 55 + 550
= 605

Answer(s): 605