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 |
Blue |
4 |
White |
6 |
Green |
8 |
In each container, the number of blue beads was 40% more than the number of green beads and 70% less than the number of white beads. Given that the total possible points if the group managed to collect all the beads were 3120 points, how many beads were not blue in colour?
Blue |
White |
Green |
7x3 |
|
5x3 |
3x7 |
10x7 |
|
21 u |
70 u |
15 u |
|
Blue |
White |
Green |
Total |
Number |
21 u |
70 u |
15u |
|
Value |
4 |
6 |
8 |
|
Total value |
84 u |
420 u |
120 u |
624 u |
100% + 40% = 140%
140% =
140100 =
75 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 84 u + 420 u + 120 u
= 624 u
624 u = 3120
1 u = 3120 ÷ 624 = 5
Number of beads not blue in colour
= 70 u + 15 u
= 85 u
= 85 x 5
= 425
Answer: 425