During a telematch, each group of students was supposed to collect as many coloured marbles as possible. Each colour represented a certain point as tabulated:
Colours |
Points |
Brown |
3 |
Gold |
6 |
White |
7 |
In each container, the number of brown marbles was 60% more than the number of white marbles and 10% less than the number of gold marbles. Given that the total possible points if the group managed to collect all the marbles were 7077 points, how many marbles were not brown in colour?
Brown |
Gold |
White |
8x9 |
|
5x9 |
9x8 |
10x8 |
|
72 u |
80 u |
45 u |
|
Brown |
Gold |
White |
Total |
Number |
72 u |
80 u |
45u |
|
Value |
3 |
6 |
7 |
|
Total value |
216 u |
480 u |
315 u |
1011 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 10% = 90%
90% =
90100 =
910 Total number of points collected
= 216 u + 480 u + 315 u
= 1011 u
1011 u = 7077
1 u = 7077 ÷ 1011 = 7
Number of marbles not gold in colour
= 72 u + 45 u
= 117 u
= 117 x 7
= 819
Answer: 819