During a telematch, each group of students was supposed to collect as many coloured beads as possible. Each colour represented a certain point as tabulated:
Colours |
Points |
Green |
3 |
Silver |
4 |
White |
7 |
In each container, the number of green beads was 80% more than the number of white beads and 90% less than the number of silver beads. Given that the total possible points if the group managed to collect all the beads were 2110 points, how many beads were not green in colour?
Green |
Silver |
White |
9x1 |
|
5x1 |
1x9 |
10x9 |
|
9 u |
90 u |
5 u |
|
Green |
Silver |
White |
Total |
Number |
9 u |
90 u |
5u |
|
Value |
3 |
4 |
7 |
|
Total value |
27 u |
360 u |
35 u |
422 u |
100% + 80% = 180%
180% =
180100 =
95 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 27 u + 360 u + 35 u
= 422 u
422 u = 2110
1 u = 2110 ÷ 422 = 5
Number of beads not green in colour
= 90 u + 5 u
= 95 u
= 95 x 5
= 475
Answer: 475