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 |
| Grey |
3 |
| Red |
5 |
| Black |
8 |
In each container, the number of grey beads was 20% more than the number of black beads and 50% less than the number of red beads. Given that the total possible points if the group managed to collect all the beads were 944 points, how many beads were not grey in colour?
| Grey |
Red |
Black |
| 6x1 |
|
5x1 |
| 1x6 |
2x6 |
|
| 6 u |
12 u |
5 u |
| |
Grey |
Red |
Black |
Total |
| Number |
6 u |
12 u |
5u |
|
| Value |
3 |
5 |
8 |
|
| Total value |
18 u |
60 u |
40 u |
118 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 50% = 50%
50% =
50100 =
12 Total number of points collected
= 18 u + 60 u + 40 u
= 118 u
118 u = 944
1 u = 944 ÷ 118 = 8
Number of beads not grey in colour
= 12 u + 5 u
= 17 u
= 17 x 8
= 136
Answer: 136
