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 |
Silver |
4 |
Gold |
7 |
Blue |
8 |
In each container, the number of silver balls was 20% more than the number of blue balls and 10% less than the number of gold balls. Given that the total possible points if the group managed to collect all the balls were 2656 points, how many balls were not silver in colour?
Silver |
Gold |
Blue |
6x3 |
|
5x3 |
9x2 |
10x2 |
|
18 u |
20 u |
15 u |
|
Silver |
Gold |
Blue |
Total |
Number |
18 u |
20 u |
15u |
|
Value |
4 |
7 |
8 |
|
Total value |
72 u |
140 u |
120 u |
332 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 10% = 90%
90% =
90100 =
910 Total number of points collected
= 72 u + 140 u + 120 u
= 332 u
332 u = 2656
1 u = 2656 ÷ 332 = 8
Number of balls not silver in colour
= 20 u + 15 u
= 35 u
= 35 x 8
= 280
Answer: 280