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 |
Brown |
4 |
Silver |
6 |
Yellow |
7 |
In each container, the number of brown balls was 80% more than the number of yellow balls and 90% less than the number of silver balls. Given that the total possible points if the group managed to collect all the balls were 1833 points, how many balls were not brown in colour?
Brown |
Silver |
Yellow |
9x1 |
|
5x1 |
1x9 |
10x9 |
|
9 u |
90 u |
5 u |
|
Brown |
Silver |
Yellow |
Total |
Number |
9 u |
90 u |
5u |
|
Value |
4 |
6 |
7 |
|
Total value |
36 u |
540 u |
35 u |
611 u |
100% + 80% = 180%
180% =
180100 =
95 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 36 u + 540 u + 35 u
= 611 u
611 u = 1833
1 u = 1833 ÷ 611 = 3
Number of balls not silver in colour
= 9 u + 5 u
= 14 u
= 14 x 3
= 42
Answer: 42