In a box, there are lollipops of 3 colours, pink, gold and green. There are 432 less green lollipops than gold lollipops. The number of green lollipops is ²₃ more than the pink lollipops. Given that the number of green lollipops is 20% of the total number of lollipops in the box, how many less pink lollipops are there than gold lollipops?

Pink lollipops	Gold lollipops	Green lollipops
	1 u + 432	1 u
3x4		5x4
80%		20%
12%	68%	20%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow lollipops : Purple lollipops = 3 : 5

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

5 x 4 = 20%

Total number of pink lollipops and gold lollipops in percent
= 100% - 20%
= 80%

Number of gold lollipops in percent
= 80% - 12%
= 68%

Number of more gold lollipops than green lollipops in percent
= 68% - 12%
= 48%

48% = 432

1% = 432 ÷ 48 = 9

Number of less pink lollipops than gold lollipops
= 68% - 12%
= 56%
= 56 x 9
= 504

Answer(s): 504