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 |
Yellow |
5 |
Gold |
7 |
In each container, the number of white marbles was 20% more than the number of gold 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 595 points, how many marbles were not white in colour?
White |
Yellow |
Gold |
6x1 |
|
5x1 |
1x6 |
2x6 |
|
6 u |
12 u |
5 u |
|
White |
Yellow |
Gold |
Total |
Number |
6 u |
12 u |
5u |
|
Value |
4 |
5 |
7 |
|
Total value |
24 u |
60 u |
35 u |
119 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 50% = 50%
50% =
50100 =
12 Total number of points collected
= 24 u + 60 u + 35 u
= 119 u
119 u = 595
1 u = 595 ÷ 119 = 5
Number of marbles not white in colour
= 12 u + 5 u
= 17 u
= 17 x 5
= 85
Answer: 85