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 |
3 |
Brown |
4 |
Gold |
5 |
In each container, the number of blue marbles was 60% more than the number of gold marbles and 90% less than the number of brown marbles. Given that the total possible points if the group managed to collect all the marbles were 3690 points, how many marbles were not blue in colour?
Blue |
Brown |
Gold |
8x1 |
|
5x1 |
1x8 |
10x8 |
|
8 u |
80 u |
5 u |
|
Blue |
Brown |
Gold |
Total |
Number |
8 u |
80 u |
5u |
|
Value |
3 |
4 |
5 |
|
Total value |
24 u |
320 u |
25 u |
369 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 24 u + 320 u + 25 u
= 369 u
369 u = 3690
1 u = 3690 ÷ 369 = 10
Number of marbles not blue in colour
= 80 u + 5 u
= 85 u
= 85 x 10
= 850
Answer: 850