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 |
Silver |
3 |
Purple |
5 |
Brown |
8 |
In each container, the number of silver marbles was 80% more than the number of brown marbles and 70% less than the number of purple marbles. Given that the total possible points if the group managed to collect all the marbles were 651 points, how many marbles were not silver in colour?
Silver |
Purple |
Brown |
9x1 |
|
5x1 |
3x3 |
10x3 |
|
9 u |
30 u |
5 u |
|
Silver |
Purple |
Brown |
Total |
Number |
9 u |
30 u |
5u |
|
Value |
3 |
5 |
8 |
|
Total value |
27 u |
150 u |
40 u |
217 u |
100% + 80% = 180%
180% =
180100 =
95 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 27 u + 150 u + 40 u
= 217 u
217 u = 651
1 u = 651 ÷ 217 = 3
Number of marbles not silver in colour
= 30 u + 5 u
= 35 u
= 35 x 3
= 105
Answer: 105