During a telematch, each group of pupils was supposed to collect as many coloured balls as possible. Each colour represented a certain point as tabulated:
Colours |
Points |
Red |
3 |
Black |
4 |
Brown |
5 |
In each container, the number of red balls was 60% more than the number of brown balls and 30% less than the number of black balls. Given that the total possible points if the group managed to collect all the balls were 4641 points, how many balls were not red in colour?
Red |
Black |
Brown |
8x7 |
|
5x7 |
7x8 |
10x8 |
|
56 u |
80 u |
35 u |
|
Red |
Black |
Brown |
Total |
Number |
56 u |
80 u |
35u |
|
Value |
3 |
4 |
5 |
|
Total value |
168 u |
320 u |
175 u |
663 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 30% = 70%
70% =
70100 =
710 Total number of points collected
= 168 u + 320 u + 175 u
= 663 u
663 u = 4641
1 u = 4641 ÷ 663 = 7
Number of balls not black in colour
= 56 u + 35 u
= 91 u
= 91 x 7
= 637
Answer: 637