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 |
Black |
2 |
Yellow |
3 |
Grey |
6 |
In each container, the number of black beads was 60% more than the number of grey beads and 30% less than the number of yellow beads. Given that the total possible points if the group managed to collect all the beads were 5620 points, how many beads were not black in colour?
Black |
Yellow |
Grey |
8x7 |
|
5x7 |
7x8 |
10x8 |
|
56 u |
80 u |
35 u |
|
Black |
Yellow |
Grey |
Total |
Number |
56 u |
80 u |
35u |
|
Value |
2 |
3 |
6 |
|
Total value |
112 u |
240 u |
210 u |
562 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 30% = 70%
70% =
70100 =
710 Total number of points collected
= 112 u + 240 u + 210 u
= 562 u
562 u = 5620
1 u = 5620 ÷ 562 = 10
Number of beads not yellow in colour
= 56 u + 35 u
= 91 u
= 91 x 10
= 910
Answer: 910