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 |
2 |
Blue |
5 |
Red |
8 |
In each container, the number of yellow beads was 80% more than the number of red beads and 70% less than the number of blue beads. Given that the total possible points if the group managed to collect all the beads were 1248 points, how many beads were not yellow in colour?
Yellow |
Blue |
Red |
9x1 |
|
5x1 |
3x3 |
10x3 |
|
9 u |
30 u |
5 u |
|
Yellow |
Blue |
Red |
Total |
Number |
9 u |
30 u |
5u |
|
Value |
2 |
5 |
8 |
|
Total value |
18 u |
150 u |
40 u |
208 u |
100% + 80% = 180%
180% =
180100 =
95 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 18 u + 150 u + 40 u
= 208 u
208 u = 1248
1 u = 1248 ÷ 208 = 6
Number of beads not blue in colour
= 9 u + 5 u
= 14 u
= 14 x 6
= 84
Answer: 84