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 |
Brown |
4 |
Green |
6 |
White |
7 |
In each container, the number of brown balls was 60% more than the number of white balls and 30% less than the number of green balls. Given that the total possible points if the group managed to collect all the balls were 7592 points, how many balls were not brown in colour?
Brown |
Green |
White |
8x7 |
|
5x7 |
7x8 |
10x8 |
|
56 u |
80 u |
35 u |
|
Brown |
Green |
White |
Total |
Number |
56 u |
80 u |
35u |
|
Value |
4 |
6 |
7 |
|
Total value |
224 u |
480 u |
245 u |
949 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 30% = 70%
70% =
70100 =
710 Total number of points collected
= 224 u + 480 u + 245 u
= 949 u
949 u = 7592
1 u = 7592 ÷ 949 = 8
Number of balls not brown in colour
= 80 u + 35 u
= 115 u
= 115 x 8
= 920
Answer: 920