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 |
Yellow |
4 |
White |
7 |
Silver |
10 |
In each container, the number of yellow beads was 60% more than the number of silver beads and 90% less than the number of white beads. Given that the total possible points if the group managed to collect all the beads were 4494 points, how many beads were not yellow in colour?
Yellow |
White |
Silver |
8x1 |
|
5x1 |
1x8 |
10x8 |
|
8 u |
80 u |
5 u |
|
Yellow |
White |
Silver |
Total |
Number |
8 u |
80 u |
5u |
|
Value |
4 |
7 |
10 |
|
Total value |
32 u |
560 u |
50 u |
642 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 32 u + 560 u + 50 u
= 642 u
642 u = 4494
1 u = 4494 ÷ 642 = 7
Number of beads not yellow in colour
= 80 u + 5 u
= 85 u
= 85 x 7
= 595
Answer: 595