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 |
White |
3 |
Brown |
4 |
Red |
7 |
In each container, the number of white beads was 40% more than the number of red beads and 50% less than the number of brown beads. Given that the total possible points if the group managed to collect all the beads were 896 points, how many beads were not white in colour?
White |
Brown |
Red |
7x1 |
|
5x1 |
1x7 |
2x7 |
|
7 u |
14 u |
5 u |
|
White |
Brown |
Red |
Total |
Number |
7 u |
14 u |
5u |
|
Value |
3 |
4 |
7 |
|
Total value |
21 u |
56 u |
35 u |
112 u |
100% + 40% = 140%
140% =
140100 =
75 100% - 50% = 50%
50% =
50100 =
12 Total number of points collected
= 21 u + 56 u + 35 u
= 112 u
112 u = 896
1 u = 896 ÷ 112 = 8
Number of beads not brown in colour
= 7 u + 5 u
= 12 u
= 12 x 8
= 96
Answer: 96