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 |
Purple |
4 |
Green |
6 |
White |
7 |
In each container, the number of purple beads was 20% more than the number of white beads and 30% less than the number of green beads. Given that the total possible points if the group managed to collect all the beads were 1546 points, how many beads were not purple in colour?
Purple |
Green |
White |
6x7 |
|
5x7 |
7x6 |
10x6 |
|
42 u |
60 u |
35 u |
|
Purple |
Green |
White |
Total |
Number |
42 u |
60 u |
35u |
|
Value |
4 |
6 |
7 |
|
Total value |
168 u |
360 u |
245 u |
773 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 30% = 70%
70% =
70100 =
710 Total number of points collected
= 168 u + 360 u + 245 u
= 773 u
773 u = 1546
1 u = 1546 ÷ 773 = 2
Number of beads not green in colour
= 42 u + 35 u
= 77 u
= 77 x 2
= 154
Answer: 154