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 |
White |
2 |
Purple |
5 |
Silver |
7 |
In each container, the number of white marbles was 40% more than the number of silver 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 2485 points, how many marbles were not white in colour?
White |
Purple |
Silver |
7x3 |
|
5x3 |
3x7 |
10x7 |
|
21 u |
70 u |
15 u |
|
White |
Purple |
Silver |
Total |
Number |
21 u |
70 u |
15u |
|
Value |
2 |
5 |
7 |
|
Total value |
42 u |
350 u |
105 u |
497 u |
100% + 40% = 140%
140% =
140100 =
75 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 42 u + 350 u + 105 u
= 497 u
497 u = 2485
1 u = 2485 ÷ 497 = 5
Number of marbles not white in colour
= 70 u + 15 u
= 85 u
= 85 x 5
= 425
Answer: 425