During a telematch, each group of students was supposed to collect as many coloured balls as possible. Each colour represented a certain point as tabulated:
Colours |
Points |
Red |
3 |
Brown |
6 |
Black |
8 |
In each container, the number of red balls was 20% more than the number of black balls and 30% less than the number of brown balls. Given that the total possible points if the group managed to collect all the balls were 2298 points, how many balls were not red in colour?
Red |
Brown |
Black |
6x7 |
|
5x7 |
7x6 |
10x6 |
|
42 u |
60 u |
35 u |
|
Red |
Brown |
Black |
Total |
Number |
42 u |
60 u |
35u |
|
Value |
3 |
6 |
8 |
|
Total value |
126 u |
360 u |
280 u |
766 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 30% = 70%
70% =
70100 =
710 Total number of points collected
= 126 u + 360 u + 280 u
= 766 u
766 u = 2298
1 u = 2298 ÷ 766 = 3
Number of balls not red in colour
= 60 u + 35 u
= 95 u
= 95 x 3
= 285
Answer: 285