In a mall that sells jackets, 100 green jackets were sold and 10% of the remaining jackets that were sold were gold. Of the leftover, 50% of the jackets sold were purple jackets and the rest were grey jackets. Given that the number of grey jackets sold was 20% of the total number of jackets sold, how many gold and green jackets were sold altogether?
10% = ¹⁰₁₀₀ = ¹₁₀
50% = ⁵⁰₁₀₀ = ¹₂
20% = ²⁰₁₀₀ = ¹₅

Green	Gold	Purple	Grey
100	1x2	9x2
		1x9	1x9
4x9			1x9
25 u	2 u	9 u	9 u

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

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

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

25 u = 100

1 u = 100 ÷ 25 = 4

Number of gold and green jackets
= 2 u + 100
= (2 x 4) + 100
= 8 + 100
= 108

Answer(s): 108