In a box, there are lollipops of 3 colours, red, black and silver. There are 90 less silver lollipops than black lollipops. The number of silver lollipops is ¹₄ more than the red lollipops. Given that the number of silver lollipops is 25% of the total number of lollipops in the box, how many less red lollipops are there than black lollipops?

Red lollipops	Black lollipops	Silver lollipops
	1 u + 90	1 u
4x5		5x5
75%		25%
20%	55%	25%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow lollipops : Purple lollipops = 4 : 5

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

5 x 5 = 25%

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

Number of black lollipops in percent
= 75% - 20%
= 55%

Number of more black lollipops than silver lollipops in percent
= 55% - 20%
= 30%

30% = 90

1% = 90 ÷ 30 = 3

Number of less red lollipops than black lollipops
= 55% - 20%
= 35%
= 35 x 3
= 105

Answer(s): 105