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 |
Brown |
2 |
Silver |
3 |
Grey |
5 |
In each container, the number of brown balls was 80% more than the number of grey balls and 90% less than the number of silver balls. Given that the total possible points if the group managed to collect all the balls were 2817 points, how many balls were not brown in colour?
Brown |
Silver |
Grey |
9x1 |
|
5x1 |
1x9 |
10x9 |
|
9 u |
90 u |
5 u |
|
Brown |
Silver |
Grey |
Total |
Number |
9 u |
90 u |
5u |
|
Value |
2 |
3 |
5 |
|
Total value |
18 u |
270 u |
25 u |
313 u |
100% + 80% = 180%
180% =
180100 =
95 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 18 u + 270 u + 25 u
= 313 u
313 u = 2817
1 u = 2817 ÷ 313 = 9
Number of balls not brown in colour
= 90 u + 5 u
= 95 u
= 95 x 9
= 855
Answer: 855