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 |
Black |
3 |
Yellow |
4 |
Pink |
6 |
In each container, the number of black balls was 20% more than the number of pink balls and 10% less than the number of yellow balls. Given that the total possible points if the group managed to collect all the balls were 896 points, how many balls were not black in colour?
Black |
Yellow |
Pink |
6x3 |
|
5x3 |
9x2 |
10x2 |
|
18 u |
20 u |
15 u |
|
Black |
Yellow |
Pink |
Total |
Number |
18 u |
20 u |
15u |
|
Value |
3 |
4 |
6 |
|
Total value |
54 u |
80 u |
90 u |
224 u |
100% + 20% = 120%
120% =
120100 =
65 100% - 10% = 90%
90% =
90100 =
910 Total number of points collected
= 54 u + 80 u + 90 u
= 224 u
224 u = 896
1 u = 896 ÷ 224 = 4
Number of balls not black in colour
= 20 u + 15 u
= 35 u
= 35 x 4
= 140
Answer: 140