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 |
Silver |
2 |
Purple |
4 |
Black |
7 |
In each container, the number of silver beads was 60% more than the number of black beads and 30% less than the number of purple beads. Given that the total possible points if the group managed to collect all the beads were 1354 points, how many beads were not silver in colour?
Silver |
Purple |
Black |
8x7 |
|
5x7 |
7x8 |
10x8 |
|
56 u |
80 u |
35 u |
|
Silver |
Purple |
Black |
Total |
Number |
56 u |
80 u |
35u |
|
Value |
2 |
4 |
7 |
|
Total value |
112 u |
320 u |
245 u |
677 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 30% = 70%
70% =
70100 =
710 Total number of points collected
= 112 u + 320 u + 245 u
= 677 u
677 u = 1354
1 u = 1354 ÷ 677 = 2
Number of beads not purple in colour
= 56 u + 35 u
= 91 u
= 91 x 2
= 182
Answer: 182