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 |
Purple |
4 |
Brown |
6 |
Silver |
9 |
In each container, the number of purple balls was 60% more than the number of silver 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 10190 points, how many balls were not purple in colour?
Purple |
Brown |
Silver |
8x7 |
|
5x7 |
7x8 |
10x8 |
|
56 u |
80 u |
35 u |
|
Purple |
Brown |
Silver |
Total |
Number |
56 u |
80 u |
35u |
|
Value |
4 |
6 |
9 |
|
Total value |
224 u |
480 u |
315 u |
1019 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 30% = 70%
70% =
70100 =
710 Total number of points collected
= 224 u + 480 u + 315 u
= 1019 u
1019 u = 10190
1 u = 10190 ÷ 1019 = 10
Number of balls not brown in colour
= 56 u + 35 u
= 91 u
= 91 x 10
= 910
Answer: 910