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 |
Green |
4 |
Silver |
5 |
Gold |
6 |
In each container, the number of green marbles was 60% more than the number of gold marbles and 70% less than the number of silver marbles. Given that the total possible points if the group managed to collect all the marbles were 1758 points, how many marbles were not green in colour?
Green |
Silver |
Gold |
8x3 |
|
5x3 |
3x8 |
10x8 |
|
24 u |
80 u |
15 u |
|
Green |
Silver |
Gold |
Total |
Number |
24 u |
80 u |
15u |
|
Value |
4 |
5 |
6 |
|
Total value |
96 u |
400 u |
90 u |
586 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 96 u + 400 u + 90 u
= 586 u
586 u = 1758
1 u = 1758 ÷ 586 = 3
Number of marbles not green in colour
= 80 u + 15 u
= 95 u
= 95 x 3
= 285
Answer: 285