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 |
Pink |
2 |
White |
4 |
Purple |
6 |
In each container, the number of pink marbles was 60% more than the number of purple marbles and 70% less than the number of white marbles. Given that the total possible points if the group managed to collect all the marbles were 3206 points, how many marbles were not pink in colour?
Pink |
White |
Purple |
8x3 |
|
5x3 |
3x8 |
10x8 |
|
24 u |
80 u |
15 u |
|
Pink |
White |
Purple |
Total |
Number |
24 u |
80 u |
15u |
|
Value |
2 |
4 |
6 |
|
Total value |
48 u |
320 u |
90 u |
458 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 48 u + 320 u + 90 u
= 458 u
458 u = 3206
1 u = 3206 ÷ 458 = 7
Number of marbles not white in colour
= 24 u + 15 u
= 39 u
= 39 x 7
= 273
Answer: 273