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 |
4 |
White |
7 |
Blue |
10 |
In each container, the number of yellow balls was 40% more than the number of blue balls and 70% less than the number of white balls. Given that the total possible points if the group managed to collect all the balls were 7240 points, how many balls were not yellow in colour?
Yellow |
White |
Blue |
7x3 |
|
5x3 |
3x7 |
10x7 |
|
21 u |
70 u |
15 u |
|
Yellow |
White |
Blue |
Total |
Number |
21 u |
70 u |
15u |
|
Value |
4 |
7 |
10 |
|
Total value |
84 u |
490 u |
150 u |
724 u |
100% + 40% = 140%
140% =
140100 =
75 100% - 70% = 30%
30% =
30100 =
310 Total number of points collected
= 84 u + 490 u + 150 u
= 724 u
724 u = 7240
1 u = 7240 ÷ 724 = 10
Number of balls not yellow in colour
= 70 u + 15 u
= 85 u
= 85 x 10
= 850
Answer: 850