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 |
Purple |
3 |
White |
6 |
Green |
9 |
In each container, the number of purple beads was 60% more than the number of green beads and 50% less than the number of white beads. Given that the total possible points if the group managed to collect all the beads were 1650 points, how many beads were not purple in colour?
Purple |
White |
Green |
8x1 |
|
5x1 |
1x8 |
2x8 |
|
8 u |
16 u |
5 u |
|
Purple |
White |
Green |
Total |
Number |
8 u |
16 u |
5u |
|
Value |
3 |
6 |
9 |
|
Total value |
24 u |
96 u |
45 u |
165 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 50% = 50%
50% =
50100 =
12 Total number of points collected
= 24 u + 96 u + 45 u
= 165 u
165 u = 1650
1 u = 1650 ÷ 165 = 10
Number of beads not white in colour
= 8 u + 5 u
= 13 u
= 13 x 10
= 130
Answer: 130