During a telematch, each group of pupils was supposed to collect as many coloured beads as possible. Each colour represented a certain point as tabulated:
Colours |
Points |
Yellow |
2 |
Green |
3 |
Gold |
4 |
In each container, the number of yellow beads was 60% more than the number of gold beads and 10% less than the number of green beads. Given that the total possible points if the group managed to collect all the beads were 2820 points, how many beads were not yellow in colour?
Yellow |
Green |
Gold |
8x9 |
|
5x9 |
9x8 |
10x8 |
|
72 u |
80 u |
45 u |
|
Yellow |
Green |
Gold |
Total |
Number |
72 u |
80 u |
45u |
|
Value |
2 |
3 |
4 |
|
Total value |
144 u |
240 u |
180 u |
564 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 10% = 90%
90% =
90100 =
910 Total number of points collected
= 144 u + 240 u + 180 u
= 564 u
564 u = 2820
1 u = 2820 ÷ 564 = 5
Number of beads not green in colour
= 72 u + 45 u
= 117 u
= 117 x 5
= 585
Answer: 585