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 |
White |
4 |
Pink |
7 |
Brown |
9 |
In each container, the number of white balls was 20% more than the number of brown balls and 30% less than the number of pink balls. Given that the total possible points if the group managed to collect all the balls were 4515 points, how many balls were not white in colour?
White |
Pink |
Brown |
6x7 |
|
5x7 |
7x6 |
10x6 |
|
42 u |
60 u |
35 u |
|
White |
Pink |
Brown |
Total |
Number |
42 u |
60 u |
35u |
|
Value |
4 |
7 |
9 |
|
Total value |
168 u |
420 u |
315 u |
903 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 30% = 70%
70% =
70100 =
710 Total number of points collected
= 168 u + 420 u + 315 u
= 903 u
903 u = 4515
1 u = 4515 ÷ 903 = 5
Number of balls not white in colour
= 60 u + 35 u
= 95 u
= 95 x 5
= 475
Answer: 475