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 |
Red |
4 |
Yellow |
6 |
Grey |
8 |
In each container, the number of red beads was 80% more than the number of grey beads and 70% less than the number of yellow beads. Given that the total possible points if the group managed to collect all the beads were 1024 points, how many beads were not red in colour?
Red |
Yellow |
Grey |
9x1 |
|
5x1 |
3x3 |
10x3 |
|
9 u |
30 u |
5 u |
|
Red |
Yellow |
Grey |
Total |
Number |
9 u |
30 u |
5u |
|
Value |
4 |
6 |
8 |
|
Total value |
36 u |
180 u |
40 u |
256 u |
100% + 80% = 180%
180% =
180100 =
95 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 36 u + 180 u + 40 u
= 256 u
256 u = 1024
1 u = 1024 ÷ 256 = 4
Number of beads not yellow in colour
= 9 u + 5 u
= 14 u
= 14 x 4
= 56
Answer: 56