In a box, there are lollipops of 3 colours, pink, grey and blue. There are 464 more grey lollipops than blue lollipops. The number of blue lollipops is ¹₄ more than the pink lollipops. Given that the number of blue lollipops is 15% of the total number of lollipops in the box, how many more grey lollipops are there than pink lollipops?

Pink lollipops	Grey lollipops	Blue lollipops
	1 u + 464	1 u
4x3		5x3
85%		15%
12%	73%	15%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow lollipops : Purple lollipops = 4 : 5

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

5 x 3 = 15%

Total number of pink lollipops and grey lollipops in percent
= 100% - 15%
= 85%

Number of grey lollipops in percent
= 85% - 12%
= 73%

Number of more grey lollipops than blue lollipops in percent
= 73% - 12%
= 58%

58% = 464

1% = 464 ÷ 58 = 8

Number of more grey lollipops than pink lollipops
= 73% - 12%
= 61%
= 61 x 8
= 488

Answer(s): 488