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 |
Pink |
2 |
Gold |
4 |
Red |
7 |
In each container, the number of pink balls was 60% more than the number of red balls and 30% less than the number of gold balls. Given that the total possible points if the group managed to collect all the balls were 6770 points, how many balls were not pink in colour?
Pink |
Gold |
Red |
8x7 |
|
5x7 |
7x8 |
10x8 |
|
56 u |
80 u |
35 u |
|
Pink |
Gold |
Red |
Total |
Number |
56 u |
80 u |
35u |
|
Value |
2 |
4 |
7 |
|
Total value |
112 u |
320 u |
245 u |
677 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 30% = 70%
70% =
70100 =
710 Total number of points collected
= 112 u + 320 u + 245 u
= 677 u
677 u = 6770
1 u = 6770 ÷ 677 = 10
Number of balls not pink in colour
= 80 u + 35 u
= 115 u
= 115 x 10
= 1150
Answer: 1150