During a telematch, each group of pupils was supposed to collect as many coloured marbles as possible. Each colour represented a certain point as tabulated:

Colours	Points
White	4
Gold	5
Purple	6

In each container, the number of white marbles was 60% more than the number of purple marbles and 50% less than the number of gold marbles. Given that the total possible points if the group managed to collect all the marbles were 1420 points, how many marbles were not white in colour?

White	Gold	Purple
8x1		5x1
1x8	2x8
8 u	16 u	5 u

	White	Gold	Purple	Total
Number	8 u	16 u	5u
Value	4	5	6
Total value	32 u	80 u	30 u	142 u

100% + 60% = 160%
160% = ¹⁶⁰₁₀₀ =⁸₅

100% - 50% = 50%
50% = ⁵⁰₁₀₀ = ¹₂

Total number of points collected
= 32 u + 80 u + 30 u
= 142 u

142 u = 1420

1 u = 1420 ÷ 142 = 10

Number of marbles not white in colour
= 16 u + 5 u
= 21 u
= 21 x 10
= 210

Answer: 210