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 |
2 |
Yellow |
3 |
Green |
6 |
In each container, the number of red marbles was 20% more than the number of green marbles and 10% less than the number of yellow marbles. Given that the total possible points if the group managed to collect all the marbles were 1674 points, how many marbles were not red in colour?
Red |
Yellow |
Green |
6x3 |
|
5x3 |
9x2 |
10x2 |
|
18 u |
20 u |
15 u |
|
Red |
Yellow |
Green |
Total |
Number |
18 u |
20 u |
15u |
|
Value |
2 |
3 |
6 |
|
Total value |
36 u |
60 u |
90 u |
186 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 10% = 90%
90% =
90100 =
910 Total number of points collected
= 36 u + 60 u + 90 u
= 186 u
186 u = 1674
1 u = 1674 ÷ 186 = 9
Number of marbles not yellow in colour
= 18 u + 15 u
= 33 u
= 33 x 9
= 297
Answer: 297