During a telematch, each group of students was supposed to collect as many coloured marbles as possible. Each colour represented a certain point as tabulated:
Colours |
Points |
Silver |
4 |
Black |
7 |
Blue |
8 |
In each container, the number of silver marbles was 20% more than the number of blue marbles and 90% less than the number of black marbles. Given that the total possible points if the group managed to collect all the marbles were 3872 points, how many marbles were not silver in colour?
Silver |
Black |
Blue |
6x1 |
|
5x1 |
1x6 |
10x6 |
|
6 u |
60 u |
5 u |
|
Silver |
Black |
Blue |
Total |
Number |
6 u |
60 u |
5u |
|
Value |
4 |
7 |
8 |
|
Total value |
24 u |
420 u |
40 u |
484 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 24 u + 420 u + 40 u
= 484 u
484 u = 3872
1 u = 3872 ÷ 484 = 8
Number of marbles not silver in colour
= 60 u + 5 u
= 65 u
= 65 x 8
= 520
Answer: 520