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 |
Pink |
3 |
Grey |
6 |
Green |
7 |
In each container, the number of pink marbles was 80% more than the number of green marbles and 30% less than the number of grey marbles. Given that the total possible points if the group managed to collect all the marbles were 6818 points, how many marbles were not pink in colour?
Pink |
Grey |
Green |
9x7 |
|
5x7 |
7x9 |
10x9 |
|
63 u |
90 u |
35 u |
|
Pink |
Grey |
Green |
Total |
Number |
63 u |
90 u |
35u |
|
Value |
3 |
6 |
7 |
|
Total value |
189 u |
540 u |
245 u |
974 u |
100% + 80% = 180%
180% =
180100 =
95 100% - 30% = 70%
70% =
70100 =
710 Total number of points collected
= 189 u + 540 u + 245 u
= 974 u
974 u = 6818
1 u = 6818 ÷ 974 = 7
Number of marbles not pink in colour
= 90 u + 35 u
= 125 u
= 125 x 7
= 875
Answer: 875