In a box, there are lollipops of 3 colours, white, black and yellow. There are 440 less yellow lollipops than black lollipops. The number of yellow lollipops is ¹₄ more than the white lollipops. Given that the number of yellow lollipops is 20% of the total number of lollipops in the box, how many less white lollipops are there than black lollipops?

White lollipops	Black lollipops	Yellow lollipops
	1 u + 440	1 u
4x4		5x4
80%		20%
16%	64%	20%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow lollipops : Purple lollipops = 4 : 5

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

5 x 4 = 20%

Total number of white lollipops and black lollipops in percent
= 100% - 20%
= 80%

Number of black lollipops in percent
= 80% - 16%
= 64%

Number of more black lollipops than yellow lollipops in percent
= 64% - 16%
= 44%

44% = 440

1% = 440 ÷ 44 = 10

Number of less white lollipops than black lollipops
= 64% - 16%
= 48%
= 48 x 10
= 480

Answer(s): 480