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 |
Grey |
2 |
Yellow |
5 |
Silver |
8 |
In each container, the number of grey beads was 40% more than the number of silver beads and 50% less than the number of yellow beads. Given that the total possible points if the group managed to collect all the beads were 1240 points, how many beads were not grey in colour?
Grey |
Yellow |
Silver |
7x1 |
|
5x1 |
1x7 |
2x7 |
|
7 u |
14 u |
5 u |
|
Grey |
Yellow |
Silver |
Total |
Number |
7 u |
14 u |
5u |
|
Value |
2 |
5 |
8 |
|
Total value |
14 u |
70 u |
40 u |
124 u |
100% + 40% = 140%
140% =
140100 =
75 100% - 50% = 50%
50% =
50100 =
12 Total number of points collected
= 14 u + 70 u + 40 u
= 124 u
124 u = 1240
1 u = 1240 ÷ 124 = 10
Number of beads not yellow in colour
= 7 u + 5 u
= 12 u
= 12 x 10
= 120
Answer: 120