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 |
Silver |
4 |
Black |
7 |
In each container, the number of green balls was 20% more than the number of black balls and 70% less than the number of silver balls. Given that the total possible points if the group managed to collect all the balls were 532 points, how many balls were not green in colour?
Green |
Silver |
Black |
6x1 |
|
5x1 |
3x2 |
10x2 |
|
6 u |
20 u |
5 u |
|
Green |
Silver |
Black |
Total |
Number |
6 u |
20 u |
5u |
|
Value |
3 |
4 |
7 |
|
Total value |
18 u |
80 u |
35 u |
133 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 18 u + 80 u + 35 u
= 133 u
133 u = 532
1 u = 532 ÷ 133 = 4
Number of balls not green in colour
= 20 u + 5 u
= 25 u
= 25 x 4
= 100
Answer: 100