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 |
| Gold |
3 |
| Pink |
4 |
| Blue |
6 |
In each container, the number of gold beads was 20% more than the number of blue beads and 10% less than the number of pink beads. Given that the total possible points if the group managed to collect all the beads were 448 points, how many beads were not gold in colour?
| Gold |
Pink |
Blue |
| 6x3 |
|
5x3 |
| 9x2 |
10x2 |
|
| 18 u |
20 u |
15 u |
| |
Gold |
Pink |
Blue |
Total |
| Number |
18 u |
20 u |
15u |
|
| Value |
3 |
4 |
6 |
|
| Total value |
54 u |
80 u |
90 u |
224 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 10% = 90%
90% =
90100 =
910 Total number of points collected
= 54 u + 80 u + 90 u
= 224 u
224 u = 448
1 u = 448 ÷ 224 = 2
Number of beads not gold in colour
= 20 u + 15 u
= 35 u
= 35 x 2
= 70
Answer: 70
