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 |
Blue |
2 |
Purple |
4 |
Grey |
6 |
In each container, the number of blue beads was 20% more than the number of grey beads and 70% less than the number of purple beads. Given that the total possible points if the group managed to collect all the beads were 488 points, how many beads were not blue in colour?
Blue |
Purple |
Grey |
6x1 |
|
5x1 |
3x2 |
10x2 |
|
6 u |
20 u |
5 u |
|
Blue |
Purple |
Grey |
Total |
Number |
6 u |
20 u |
5u |
|
Value |
2 |
4 |
6 |
|
Total value |
12 u |
80 u |
30 u |
122 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 12 u + 80 u + 30 u
= 122 u
122 u = 488
1 u = 488 ÷ 122 = 4
Number of beads not purple in colour
= 6 u + 5 u
= 11 u
= 11 x 4
= 44
Answer: 44