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 |
Black |
3 |
White |
4 |
Pink |
6 |
In each container, the number of black marbles was 40% more than the number of pink marbles and 90% less than the number of white marbles. Given that the total possible points if the group managed to collect all the marbles were 662 points, how many marbles were not black in colour?
Black |
White |
Pink |
7x1 |
|
5x1 |
1x7 |
10x7 |
|
7 u |
70 u |
5 u |
|
Black |
White |
Pink |
Total |
Number |
7 u |
70 u |
5u |
|
Value |
3 |
4 |
6 |
|
Total value |
21 u |
280 u |
30 u |
331 u |
100% + 40% = 140%
140% =
140100 =
75 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 21 u + 280 u + 30 u
= 331 u
331 u = 662
1 u = 662 ÷ 331 = 2
Number of marbles not black in colour
= 70 u + 5 u
= 75 u
= 75 x 2
= 150
Answer: 150