In a box, there are lollipops of 3 colours, black, silver and white. There are 105 less white lollipops than silver lollipops. The number of white lollipops is ¹₅ more than the black lollipops. Given that the number of white lollipops is 30% of the total number of lollipops in the box, how many less black lollipops are there than silver lollipops?

Black lollipops	Silver lollipops	White lollipops
	1 u + 105	1 u
5x5		6x5
70%		30%
25%	45%	30%

1 + ¹₅ = ⁵₅ + ¹₅ = ⁶₅

Yellow lollipops : Purple lollipops = 5 : 6

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

6 x 5 = 30%

Total number of black lollipops and silver lollipops in percent
= 100% - 30%
= 70%

Number of silver lollipops in percent
= 70% - 25%
= 45%

Number of more silver lollipops than white lollipops in percent
= 45% - 25%
= 15%

15% = 105

1% = 105 ÷ 15 = 7

Number of less black lollipops than silver lollipops
= 45% - 25%
= 20%
= 20 x 7
= 140

Answer(s): 140