In a container, there are jelly beans of 3 colours, silver, purple and white. There are 490 more purple jelly beans than white jelly beans. The number of white jelly beans is
15 more than the silver jelly beans. Given that the number of white jelly beans is 18% of the total number of jelly beans in the container, how many more purple jelly beans are there than silver jelly beans?
Silver jelly beans |
Purple jelly beans |
White jelly beans |
|
1 u + 490 |
1 u |
5x3 |
|
6x3 |
82% |
18% |
15% |
67% |
18% |
1 +
15 =
55 +
15 =
65 Yellow jelly beans : Purple jelly beans = 5 : 6
The number of white jelly beans is repeated. Make the number of white jelly beans the same.
6 x 3 = 18%
Total number of silver jelly beans and purple jelly beans in percent
= 100% - 18%
= 82%
Number of purple jelly beans in percent
= 82% - 15%
= 67%
Number of more purple jelly beans than white jelly beans in percent
= 67% - 15%
= 49%
49% = 490
1% = 490 ÷ 49 = 10
Number of more purple jelly beans than silver jelly beans
= 67% - 15%
= 52%
= 52 x 10
= 520
Answer(s): 520