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 |
Gold |
4 |
Blue |
6 |
Silver |
9 |
In each container, the number of gold balls was 20% more than the number of silver balls and 70% less than the number of blue balls. Given that the total possible points if the group managed to collect all the balls were 1512 points, how many balls were not gold in colour?
Gold |
Blue |
Silver |
6x1 |
|
5x1 |
3x2 |
10x2 |
|
6 u |
20 u |
5 u |
|
Gold |
Blue |
Silver |
Total |
Number |
6 u |
20 u |
5u |
|
Value |
4 |
6 |
9 |
|
Total value |
24 u |
120 u |
45 u |
189 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 24 u + 120 u + 45 u
= 189 u
189 u = 1512
1 u = 1512 ÷ 189 = 8
Number of balls not gold in colour
= 20 u + 5 u
= 25 u
= 25 x 8
= 200
Answer: 200