In a container, there are lollipops of 3 colours, gold, silver and black. There are 610 more silver lollipops than black lollipops. The number of black lollipops is ²₃ more than the gold lollipops. Given that the number of black lollipops is 15% of the total number of lollipops in the container, how many more silver lollipops are there than gold lollipops?

Gold lollipops	Silver lollipops	Black lollipops
	1 u + 610	1 u
3x3		5x3
85%		15%
9%	76%	15%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow lollipops : Purple lollipops = 3 : 5

The number of black lollipops is repeated.  Make the number of black lollipops the same.

5 x 3 = 15%

Total number of gold lollipops and silver lollipops in percent
= 100% - 15%
= 85%

Number of silver lollipops in percent
= 85% - 9%
= 76%

Number of more silver lollipops than black lollipops in percent
= 76% - 9%
= 61%

61% = 610

1% = 610 ÷ 61 = 10

Number of more silver lollipops than gold lollipops
= 76% - 9%
= 67%
= 67 x 10
= 670

Answer(s): 670