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 |
Black |
3 |
Blue |
4 |
White |
5 |
In each container, the number of black beads was 40% more than the number of white 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 1254 points, how many beads were not black in colour?
Black |
Blue |
White |
7x3 |
|
5x3 |
3x7 |
10x7 |
|
21 u |
70 u |
15 u |
|
Black |
Blue |
White |
Total |
Number |
21 u |
70 u |
15u |
|
Value |
3 |
4 |
5 |
|
Total value |
63 u |
280 u |
75 u |
418 u |
100% + 40% = 140%
140% =
140100 =
75 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 63 u + 280 u + 75 u
= 418 u
418 u = 1254
1 u = 1254 ÷ 418 = 3
Number of beads not black in colour
= 70 u + 15 u
= 85 u
= 85 x 3
= 255
Answer: 255