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 |
Grey |
3 |
Blue |
4 |
Gold |
7 |
In each container, the number of grey marbles was 80% more than the number of gold marbles and 70% less than the number of blue marbles. Given that the total possible points if the group managed to collect all the marbles were 1274 points, how many marbles were not grey in colour?
Grey |
Blue |
Gold |
9x1 |
|
5x1 |
3x3 |
10x3 |
|
9 u |
30 u |
5 u |
|
Grey |
Blue |
Gold |
Total |
Number |
9 u |
30 u |
5u |
|
Value |
3 |
4 |
7 |
|
Total value |
27 u |
120 u |
35 u |
182 u |
100% + 80% = 180%
180% =
180100 =
95 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 27 u + 120 u + 35 u
= 182 u
182 u = 1274
1 u = 1274 ÷ 182 = 7
Number of marbles not grey in colour
= 30 u + 5 u
= 35 u
= 35 x 7
= 245
Answer: 245