In a box, there are lollipops of 3 colours, gold, white and purple. There are 366 less purple lollipops than white lollipops. The number of purple lollipops is ²₃ more than the gold lollipops. Given that the number of purple lollipops is 15% of the total number of lollipops in the box, how many less gold lollipops are there than white lollipops?

Gold lollipops	White lollipops	Purple lollipops
	1 u + 366	1 u
3x3		5x3
85%		15%
9%	76%	15%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow lollipops : Purple lollipops = 3 : 5

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

5 x 3 = 15%

Total number of gold lollipops and white lollipops in percent
= 100% - 15%
= 85%

Number of white lollipops in percent
= 85% - 9%
= 76%

Number of more white lollipops than purple lollipops in percent
= 76% - 9%
= 61%

61% = 366

1% = 366 ÷ 61 = 6

Number of less gold lollipops than white lollipops
= 76% - 9%
= 67%
= 67 x 6
= 402

Answer(s): 402