In a shopping centre that sells windbreakers, 1700 yellow windbreakers were sold and 25% of the remaining windbreakers that were sold were white. Of the leftover, 60% of the windbreakers sold were grey windbreakers and the rest were purple windbreakers. Given that the number of purple windbreakers sold was 5% of the total number of windbreakers sold, how many white and yellow windbreakers were sold altogether?
25% = ²⁵₁₀₀ = ¹₄
60% = ⁶⁰₁₀₀ = ³₅
5% = ⁵₁₀₀ = ¹₂₀

Yellow	White	Grey	Purple
1700	1x5	3x5
		3x3	2x3
19x6			1x6
100 u	5 u	9 u	6 u

The total number of grey and purple shirts is the combined repeated identity. Make the total number of grey and purple shirts the same. LCM of 3 and 5 is 15.

The number of purple shirts is repeated. Make the number of purple shirts the same. LCM of 6 and 1 is 6.

Number of yellow windbreakers
= 114 u - 5 u - 9 u
= 100 u

100 u = 1700

1 u = 1700 ÷ 100 = 17

Number of white and yellow windbreakers
= 5 u + 1700
= (5 x 17) + 1700
= 85 + 1700
= 1785

Answer(s): 1785