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 |
2 |
Black |
3 |
Yellow |
4 |
In each container, the number of silver marbles was 40% more than the number of yellow marbles and 70% less than the number of black marbles. Given that the total possible points if the group managed to collect all the marbles were 624 points, how many marbles were not silver in colour?
Silver |
Black |
Yellow |
7x3 |
|
5x3 |
3x7 |
10x7 |
|
21 u |
70 u |
15 u |
|
Silver |
Black |
Yellow |
Total |
Number |
21 u |
70 u |
15u |
|
Value |
2 |
3 |
4 |
|
Total value |
42 u |
210 u |
60 u |
312 u |
100% + 40% = 140%
140% =
140100 =
75 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 42 u + 210 u + 60 u
= 312 u
312 u = 624
1 u = 624 ÷ 312 = 2
Number of marbles not black in colour
= 21 u + 15 u
= 36 u
= 36 x 2
= 72
Answer: 72