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 |
3 |
Gold |
4 |
Brown |
6 |
In each container, the number of pink balls was 80% more than the number of brown balls and 70% less than the number of gold balls. Given that the total possible points if the group managed to collect all the balls were 1062 points, how many balls were not pink in colour?
Pink |
Gold |
Brown |
9x1 |
|
5x1 |
3x3 |
10x3 |
|
9 u |
30 u |
5 u |
|
Pink |
Gold |
Brown |
Total |
Number |
9 u |
30 u |
5u |
|
Value |
3 |
4 |
6 |
|
Total value |
27 u |
120 u |
30 u |
177 u |
100% + 80% = 180%
180% =
180100 =
95 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 27 u + 120 u + 30 u
= 177 u
177 u = 1062
1 u = 1062 ÷ 177 = 6
Number of balls not gold in colour
= 9 u + 5 u
= 14 u
= 14 x 6
= 84
Answer: 84