During a telematch, each group of pupils was supposed to collect as many coloured balls as possible. Each colour represented a certain point as tabulated:
Colours |
Points |
Yellow |
3 |
Red |
5 |
Purple |
8 |
In each container, the number of yellow balls was 40% more than the number of purple balls and 90% less than the number of red balls. Given that the total possible points if the group managed to collect all the balls were 2877 points, how many balls were not yellow in colour?
Yellow |
Red |
Purple |
7x1 |
|
5x1 |
1x7 |
10x7 |
|
7 u |
70 u |
5 u |
|
Yellow |
Red |
Purple |
Total |
Number |
7 u |
70 u |
5u |
|
Value |
3 |
5 |
8 |
|
Total value |
21 u |
350 u |
40 u |
411 u |
100% + 40% = 140%
140% =
140100 =
75 100% - 90% = 10%
10% =
10100 =
110 Total number of points collected
= 21 u + 350 u + 40 u
= 411 u
411 u = 2877
1 u = 2877 ÷ 411 = 7
Number of balls not yellow in colour
= 70 u + 5 u
= 75 u
= 75 x 7
= 525
Answer: 525