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 |
Yellow |
4 |
Silver |
5 |
Purple |
6 |
In each container, the number of yellow marbles was 60% more than the number of purple marbles and 10% less than the number of silver marbles. Given that the total possible points if the group managed to collect all the marbles were 9580 points, how many marbles were not yellow in colour?
Yellow |
Silver |
Purple |
8x9 |
|
5x9 |
9x8 |
10x8 |
|
72 u |
80 u |
45 u |
|
Yellow |
Silver |
Purple |
Total |
Number |
72 u |
80 u |
45u |
|
Value |
4 |
5 |
6 |
|
Total value |
288 u |
400 u |
270 u |
958 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 10% = 90%
90% =
90100 =
910 Total number of points collected
= 288 u + 400 u + 270 u
= 958 u
958 u = 9580
1 u = 9580 ÷ 958 = 10
Number of marbles not yellow in colour
= 80 u + 45 u
= 125 u
= 125 x 10
= 1250
Answer: 1250