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 |
Silver |
2 |
Pink |
5 |
Gold |
6 |
In each container, the number of silver balls was 60% more than the number of gold balls and 90% less than the number of pink balls. Given that the total possible points if the group managed to collect all the balls were 4460 points, how many balls were not silver in colour?
Silver |
Pink |
Gold |
8x1 |
|
5x1 |
1x8 |
10x8 |
|
8 u |
80 u |
5 u |
|
Silver |
Pink |
Gold |
Total |
Number |
8 u |
80 u |
5u |
|
Value |
2 |
5 |
6 |
|
Total value |
16 u |
400 u |
30 u |
446 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 16 u + 400 u + 30 u
= 446 u
446 u = 4460
1 u = 4460 ÷ 446 = 10
Number of balls not silver in colour
= 80 u + 5 u
= 85 u
= 85 x 10
= 850
Answer: 850