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 |
Yellow |
4 |
Purple |
5 |
Green |
7 |
In each container, the number of yellow beads was 80% more than the number of green beads and 30% less than the number of purple beads. Given that the total possible points if the group managed to collect all the beads were 6629 points, how many beads were not yellow in colour?
Yellow |
Purple |
Green |
9x7 |
|
5x7 |
7x9 |
10x9 |
|
63 u |
90 u |
35 u |
|
Yellow |
Purple |
Green |
Total |
Number |
63 u |
90 u |
35u |
|
Value |
4 |
5 |
7 |
|
Total value |
252 u |
450 u |
245 u |
947 u |
100% + 80% = 180%
180% =
180100 =
95 100% - 30% = 70%
70% =
70100 =
710 Total number of points collected
= 252 u + 450 u + 245 u
= 947 u
947 u = 6629
1 u = 6629 ÷ 947 = 7
Number of beads not purple in colour
= 63 u + 35 u
= 98 u
= 98 x 7
= 686
Answer: 686