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 |
Gold |
2 |
Purple |
5 |
White |
8 |
In each container, the number of gold beads was 20% more than the number of white 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 456 points, how many beads were not gold in colour?
Gold |
Purple |
White |
6x1 |
|
5x1 |
3x2 |
10x2 |
|
6 u |
20 u |
5 u |
|
Gold |
Purple |
White |
Total |
Number |
6 u |
20 u |
5u |
|
Value |
2 |
5 |
8 |
|
Total value |
12 u |
100 u |
40 u |
152 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 12 u + 100 u + 40 u
= 152 u
152 u = 456
1 u = 456 ÷ 152 = 3
Number of beads not purple in colour
= 6 u + 5 u
= 11 u
= 11 x 3
= 33
Answer: 33