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 |
Silver |
3 |
Blue |
6 |
Grey |
7 |
In each container, the number of silver beads was 60% more than the number of grey beads and 50% less than the number of blue beads. Given that the total possible points if the group managed to collect all the beads were 930 points, how many beads were not silver in colour?
Silver |
Blue |
Grey |
8x1 |
|
5x1 |
1x8 |
2x8 |
|
8 u |
16 u |
5 u |
|
Silver |
Blue |
Grey |
Total |
Number |
8 u |
16 u |
5u |
|
Value |
3 |
6 |
7 |
|
Total value |
24 u |
96 u |
35 u |
155 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 50% = 50%
50% =
50100 =
12 Total number of points collected
= 24 u + 96 u + 35 u
= 155 u
155 u = 930
1 u = 930 ÷ 155 = 6
Number of beads not silver in colour
= 16 u + 5 u
= 21 u
= 21 x 6
= 126
Answer: 126