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 |
Green |
3 |
Gold |
5 |
Silver |
6 |
In each container, the number of green balls was 20% more than the number of silver balls and 10% less than the number of gold balls. Given that the total possible points if the group managed to collect all the balls were 732 points, how many balls were not green in colour?
Green |
Gold |
Silver |
6x3 |
|
5x3 |
9x2 |
10x2 |
|
18 u |
20 u |
15 u |
|
Green |
Gold |
Silver |
Total |
Number |
18 u |
20 u |
15u |
|
Value |
3 |
5 |
6 |
|
Total value |
54 u |
100 u |
90 u |
244 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 10% = 90%
90% =
90100 =
910 Total number of points collected
= 54 u + 100 u + 90 u
= 244 u
244 u = 732
1 u = 732 ÷ 244 = 3
Number of balls not gold in colour
= 18 u + 15 u
= 33 u
= 33 x 3
= 99
Answer: 99