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 |
Gold |
2 |
Black |
4 |
Silver |
5 |
In each container, the number of gold marbles was 40% more than the number of silver 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 957 points, how many marbles were not gold in colour?
Gold |
Black |
Silver |
7x1 |
|
5x1 |
1x7 |
10x7 |
|
7 u |
70 u |
5 u |
|
Gold |
Black |
Silver |
Total |
Number |
7 u |
70 u |
5u |
|
Value |
2 |
4 |
5 |
|
Total value |
14 u |
280 u |
25 u |
319 u |
100% + 40% = 140%
140% =
140100 =
75 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 14 u + 280 u + 25 u
= 319 u
319 u = 957
1 u = 957 ÷ 319 = 3
Number of marbles not black in colour
= 7 u + 5 u
= 12 u
= 12 x 3
= 36
Answer: 36