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 |
Blue |
2 |
Red |
3 |
Grey |
6 |
In each container, the number of blue marbles was 80% more than the number of grey marbles and 30% less than the number of red marbles. Given that the total possible points if the group managed to collect all the marbles were 1818 points, how many marbles were not blue in colour?
Blue |
Red |
Grey |
9x7 |
|
5x7 |
7x9 |
10x9 |
|
63 u |
90 u |
35 u |
|
Blue |
Red |
Grey |
Total |
Number |
63 u |
90 u |
35u |
|
Value |
2 |
3 |
6 |
|
Total value |
126 u |
270 u |
210 u |
606 u |
100% + 80% = 180%
180% =
180100 =
95 100% - 30% = 70%
70% =
70100 =
710 Total number of points collected
= 126 u + 270 u + 210 u
= 606 u
606 u = 1818
1 u = 1818 ÷ 606 = 3
Number of marbles not blue in colour
= 90 u + 35 u
= 125 u
= 125 x 3
= 375
Answer: 375