In a box, there are lollipops of 3 colours, silver, red and black. There are 315 less black lollipops than red lollipops. The number of black lollipops is ²₃ more than the silver lollipops. Given that the number of black lollipops is 25% of the total number of lollipops in the box, how many less silver lollipops are there than red lollipops?

Silver lollipops	Red lollipops	Black lollipops
	1 u + 315	1 u
3x5		5x5
75%		25%
15%	60%	25%

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 5 = 25%

Total number of silver lollipops and red lollipops in percent
= 100% - 25%
= 75%

Number of red lollipops in percent
= 75% - 15%
= 60%

Number of more red lollipops than black lollipops in percent
= 60% - 15%
= 35%

35% = 315

1% = 315 ÷ 35 = 9

Number of less silver lollipops than red lollipops
= 60% - 15%
= 45%
= 45 x 9
= 405

Answer(s): 405