In a box, there are lollipops of 3 colours, black, gold and brown. There are 150 more gold lollipops than brown lollipops. The number of brown lollipops is ¹₅ more than the black lollipops. Given that the number of brown lollipops is 30% of the total number of lollipops in the box, how many more gold lollipops are there than black lollipops?

Black lollipops	Gold lollipops	Brown lollipops
	1 u + 150	1 u
5x5		6x5
70%		30%
25%	45%	30%

1 + ¹₅ = ⁵₅ + ¹₅ = ⁶₅

Yellow lollipops : Purple lollipops = 5 : 6

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

6 x 5 = 30%

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

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

Number of more gold lollipops than brown lollipops in percent
= 45% - 25%
= 15%

15% = 150

1% = 150 ÷ 15 = 10

Number of more gold lollipops than black lollipops
= 45% - 25%
= 20%
= 20 x 10
= 200

Answer(s): 200