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
Green	4
Pink	7
Yellow	9

In each container, the number of green marbles was 20% more than the number of yellow marbles and 90% less than the number of pink marbles. Given that the total possible points if the group managed to collect all the marbles were 3423 points, how many marbles were not green in colour?

Green	Pink	Yellow
6x1		5x1
1x6	10x6
6 u	60 u	5 u

	Green	Pink	Yellow	Total
Number	6 u	60 u	5u
Value	4	7	9
Total value	24 u	420 u	45 u	489 u

100% + 20% = 120%
120% = ¹²⁰₁₀₀ =⁶₅

100% - 90% = 10%
10% = ¹⁰₁₀₀ = ¹₁₀

Total number of points collected
= 24 u + 420 u + 45 u
= 489 u

489 u = 3423

1 u = 3423 ÷ 489 = 7

Number of marbles not green in colour
= 60 u + 5 u
= 65 u
= 65 x 7
= 455

Answer: 455