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 |
Yellow |
4 |
Blue |
5 |
In each container, the number of pink marbles was 20% more than the number of blue marbles and 50% less than the number of yellow marbles. Given that the total possible points if the group managed to collect all the marbles were 182 points, how many marbles were not pink in colour?
Pink |
Yellow |
Blue |
6x1 |
|
5x1 |
1x6 |
2x6 |
|
6 u |
12 u |
5 u |
|
Pink |
Yellow |
Blue |
Total |
Number |
6 u |
12 u |
5u |
|
Value |
3 |
4 |
5 |
|
Total value |
18 u |
48 u |
25 u |
91 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 50% = 50%
50% =
50100 =
12 Total number of points collected
= 18 u + 48 u + 25 u
= 91 u
91 u = 182
1 u = 182 ÷ 91 = 2
Number of marbles not yellow in colour
= 6 u + 5 u
= 11 u
= 11 x 2
= 22
Answer: 22