During a telematch, each group of students was supposed to collect as many coloured beads as possible. Each colour represented a certain point as tabulated:
Colours |
Points |
Brown |
3 |
Gold |
6 |
Green |
7 |
In each container, the number of brown beads was 40% more than the number of green beads and 70% less than the number of gold beads. Given that the total possible points if the group managed to collect all the beads were 2940 points, how many beads were not brown in colour?
Brown |
Gold |
Green |
7x3 |
|
5x3 |
3x7 |
10x7 |
|
21 u |
70 u |
15 u |
|
Brown |
Gold |
Green |
Total |
Number |
21 u |
70 u |
15u |
|
Value |
3 |
6 |
7 |
|
Total value |
63 u |
420 u |
105 u |
588 u |
100% + 40% = 140%
140% =
140100 =
75 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 63 u + 420 u + 105 u
= 588 u
588 u = 2940
1 u = 2940 ÷ 588 = 5
Number of beads not gold in colour
= 21 u + 15 u
= 36 u
= 36 x 5
= 180
Answer: 180