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 |
Pink |
2 |
Black |
3 |
Blue |
4 |
In each container, the number of pink balls was 20% more than the number of blue balls and 90% less than the number of black balls. Given that the total possible points if the group managed to collect all the balls were 1060 points, how many balls were not pink in colour?
Pink |
Black |
Blue |
6x1 |
|
5x1 |
1x6 |
10x6 |
|
6 u |
60 u |
5 u |
|
Pink |
Black |
Blue |
Total |
Number |
6 u |
60 u |
5u |
|
Value |
2 |
3 |
4 |
|
Total value |
12 u |
180 u |
20 u |
212 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 12 u + 180 u + 20 u
= 212 u
212 u = 1060
1 u = 1060 ÷ 212 = 5
Number of balls not pink in colour
= 60 u + 5 u
= 65 u
= 65 x 5
= 325
Answer: 325