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 |
Black |
4 |
Yellow |
5 |
Brown |
8 |
In each container, the number of black marbles was 60% more than the number of brown marbles and 90% less than the number of yellow marbles. Given that the total possible points if the group managed to collect all the marbles were 3304 points, how many marbles were not black in colour?
Black |
Yellow |
Brown |
8x1 |
|
5x1 |
1x8 |
10x8 |
|
8 u |
80 u |
5 u |
|
Black |
Yellow |
Brown |
Total |
Number |
8 u |
80 u |
5u |
|
Value |
4 |
5 |
8 |
|
Total value |
32 u |
400 u |
40 u |
472 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 32 u + 400 u + 40 u
= 472 u
472 u = 3304
1 u = 3304 ÷ 472 = 7
Number of marbles not black in colour
= 80 u + 5 u
= 85 u
= 85 x 7
= 595
Answer: 595