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

Colours	Points
Purple	3
Silver	6
Blue	8

In each container, the number of purple marbles was 20% more than the number of blue marbles and 10% less than the number of silver marbles. Given that the total possible points if the group managed to collect all the marbles were 1176 points, how many marbles were not purple in colour?

Purple	Silver	Blue
6x3		5x3
9x2	10x2
18 u	20 u	15 u

	Purple	Silver	Blue	Total
Number	18 u	20 u	15u
Value	3	6	8
Total value	54 u	120 u	120 u	294 u

100% + 20% = 120%
120% = ¹²⁰₁₀₀ =⁶₅

100% - 10% = 90%
90% = ⁹⁰₁₀₀ = ⁹₁₀

Total number of points collected
= 54 u + 120 u + 120 u
= 294 u

294 u = 1176

1 u = 1176 ÷ 294 = 4

Number of marbles not purple in colour
= 20 u + 15 u
= 35 u
= 35 x 4
= 140

Answer: 140