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 |
4 |
Brown |
7 |
Yellow |
8 |
In each container, the number of silver beads was 20% more than the number of yellow beads and 50% less than the number of brown beads. Given that the total possible points if the group managed to collect all the beads were 740 points, how many beads were not silver in colour?
Silver |
Brown |
Yellow |
6x1 |
|
5x1 |
1x6 |
2x6 |
|
6 u |
12 u |
5 u |
|
Silver |
Brown |
Yellow |
Total |
Number |
6 u |
12 u |
5u |
|
Value |
4 |
7 |
8 |
|
Total value |
24 u |
84 u |
40 u |
148 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 50% = 50%
50% =
50100 =
12 Total number of points collected
= 24 u + 84 u + 40 u
= 148 u
148 u = 740
1 u = 740 ÷ 148 = 5
Number of beads not silver in colour
= 12 u + 5 u
= 17 u
= 17 x 5
= 85
Answer: 85