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 |
White |
4 |
Gold |
6 |
Pink |
8 |
In each container, the number of white marbles was 60% more than the number of pink marbles and 10% less than the number of gold marbles. Given that the total possible points if the group managed to collect all the marbles were 4512 points, how many marbles were not white in colour?
White |
Gold |
Pink |
8x9 |
|
5x9 |
9x8 |
10x8 |
|
72 u |
80 u |
45 u |
|
White |
Gold |
Pink |
Total |
Number |
72 u |
80 u |
45u |
|
Value |
4 |
6 |
8 |
|
Total value |
288 u |
480 u |
360 u |
1128 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 10% = 90%
90% =
90100 =
910 Total number of points collected
= 288 u + 480 u + 360 u
= 1128 u
1128 u = 4512
1 u = 4512 ÷ 1128 = 4
Number of marbles not white in colour
= 80 u + 45 u
= 125 u
= 125 x 4
= 500
Answer: 500