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 |
Green |
3 |
Silver |
5 |
Brown |
6 |
In each container, the number of green marbles was 80% more than the number of brown marbles and 90% less than the number of silver marbles. Given that the total possible points if the group managed to collect all the marbles were 2028 points, how many marbles were not green in colour?
Green |
Silver |
Brown |
9x1 |
|
5x1 |
1x9 |
10x9 |
|
9 u |
90 u |
5 u |
|
Green |
Silver |
Brown |
Total |
Number |
9 u |
90 u |
5u |
|
Value |
3 |
5 |
6 |
|
Total value |
27 u |
450 u |
30 u |
507 u |
100% + 80% = 180%
180% =
180100 =
95 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 27 u + 450 u + 30 u
= 507 u
507 u = 2028
1 u = 2028 ÷ 507 = 4
Number of marbles not silver in colour
= 9 u + 5 u
= 14 u
= 14 x 4
= 56
Answer: 56