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 |
Yellow |
3 |
Brown |
6 |
Gold |
9 |
In each container, the number of yellow beads was 20% more than the number of gold beads and 50% less than the number of brown beads. Given that the total possible points if the group managed to collect all the beads were 1080 points, how many beads were not yellow in colour?
Yellow |
Brown |
Gold |
6x1 |
|
5x1 |
1x6 |
2x6 |
|
6 u |
12 u |
5 u |
|
Yellow |
Brown |
Gold |
Total |
Number |
6 u |
12 u |
5u |
|
Value |
3 |
6 |
9 |
|
Total value |
18 u |
72 u |
45 u |
135 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 50% = 50%
50% =
50100 =
12 Total number of points collected
= 18 u + 72 u + 45 u
= 135 u
135 u = 1080
1 u = 1080 ÷ 135 = 8
Number of beads not brown in colour
= 6 u + 5 u
= 11 u
= 11 x 8
= 88
Answer: 88