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 |
Blue |
5 |
Purple |
6 |
In each container, the number of pink marbles was 20% more than the number of purple marbles and 90% less than the number of blue marbles. Given that the total possible points if the group managed to collect all the marbles were 2088 points, how many marbles were not pink in colour?
Pink |
Blue |
Purple |
6x1 |
|
5x1 |
1x6 |
10x6 |
|
6 u |
60 u |
5 u |
|
Pink |
Blue |
Purple |
Total |
Number |
6 u |
60 u |
5u |
|
Value |
3 |
5 |
6 |
|
Total value |
18 u |
300 u |
30 u |
348 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 18 u + 300 u + 30 u
= 348 u
348 u = 2088
1 u = 2088 ÷ 348 = 6
Number of marbles not pink in colour
= 60 u + 5 u
= 65 u
= 65 x 6
= 390
Answer: 390