During a telematch, each group of pupils was supposed to collect as many coloured marbles as possible. Each colour represented a certain point as tabulated:
Colours |
Points |
Red |
3 |
Brown |
6 |
Grey |
9 |
In each container, the number of red marbles was 40% more than the number of grey marbles and 50% less than the number of brown marbles. Given that the total possible points if the group managed to collect all the marbles were 1200 points, how many marbles were not red in colour?
Red |
Brown |
Grey |
7x1 |
|
5x1 |
1x7 |
2x7 |
|
7 u |
14 u |
5 u |
|
Red |
Brown |
Grey |
Total |
Number |
7 u |
14 u |
5u |
|
Value |
3 |
6 |
9 |
|
Total value |
21 u |
84 u |
45 u |
150 u |
100% + 40% = 140%
140% =
140100 =
75 100% - 50% = 50%
50% =
50100 =
12 Total number of points collected
= 21 u + 84 u + 45 u
= 150 u
150 u = 1200
1 u = 1200 ÷ 150 = 8
Number of marbles not brown in colour
= 7 u + 5 u
= 12 u
= 12 x 8
= 96
Answer: 96