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 |
Brown |
2 |
Gold |
5 |
Yellow |
7 |
In each container, the number of brown marbles was 20% more than the number of yellow marbles and 90% less than the number of gold marbles. Given that the total possible points if the group managed to collect all the marbles were 1041 points, how many marbles were not brown in colour?
Brown |
Gold |
Yellow |
6x1 |
|
5x1 |
1x6 |
10x6 |
|
6 u |
60 u |
5 u |
|
Brown |
Gold |
Yellow |
Total |
Number |
6 u |
60 u |
5u |
|
Value |
2 |
5 |
7 |
|
Total value |
12 u |
300 u |
35 u |
347 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 12 u + 300 u + 35 u
= 347 u
347 u = 1041
1 u = 1041 ÷ 347 = 3
Number of marbles not brown in colour
= 60 u + 5 u
= 65 u
= 65 x 3
= 195
Answer: 195