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 |
Brown |
3 |
Green |
4 |
Pink |
7 |
In each container, the number of brown balls was 40% more than the number of pink balls and 50% less than the number of green balls. Given that the total possible points if the group managed to collect all the balls were 448 points, how many balls were not brown in colour?
Brown |
Green |
Pink |
7x1 |
|
5x1 |
1x7 |
2x7 |
|
7 u |
14 u |
5 u |
|
Brown |
Green |
Pink |
Total |
Number |
7 u |
14 u |
5u |
|
Value |
3 |
4 |
7 |
|
Total value |
21 u |
56 u |
35 u |
112 u |
100% + 40% = 140%
140% =
140100 =
75 100% - 50% = 50%
50% =
50100 =
12 Total number of points collected
= 21 u + 56 u + 35 u
= 112 u
112 u = 448
1 u = 448 ÷ 112 = 4
Number of balls not brown in colour
= 14 u + 5 u
= 19 u
= 19 x 4
= 76
Answer: 76