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 |
3 |
Brown |
5 |
Gold |
6 |
In each container, the number of white balls was 40% more than the number of gold balls and 90% less than the number of brown balls. Given that the total possible points if the group managed to collect all the balls were 4010 points, how many balls were not white in colour?
White |
Brown |
Gold |
7x1 |
|
5x1 |
1x7 |
10x7 |
|
7 u |
70 u |
5 u |
|
White |
Brown |
Gold |
Total |
Number |
7 u |
70 u |
5u |
|
Value |
3 |
5 |
6 |
|
Total value |
21 u |
350 u |
30 u |
401 u |
100% + 40% = 140%
140% =
140100 =
75 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 21 u + 350 u + 30 u
= 401 u
401 u = 4010
1 u = 4010 ÷ 401 = 10
Number of balls not brown in colour
= 7 u + 5 u
= 12 u
= 12 x 10
= 120
Answer: 120