In a container, there are lollipops of 3 colours, silver, black and yellow. There are 63 more black lollipops than yellow lollipops. The number of yellow lollipops is ²₃ more than the silver lollipops. Given that the number of yellow lollipops is 35% of the total number of lollipops in the container, how many more black lollipops are there than silver lollipops?

Silver lollipops	Black lollipops	Yellow lollipops
	1 u + 63	1 u
3x7		5x7
65%		35%
21%	44%	35%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow lollipops : Purple lollipops = 3 : 5

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

5 x 7 = 35%

Total number of silver lollipops and black lollipops in percent
= 100% - 35%
= 65%

Number of black lollipops in percent
= 65% - 21%
= 44%

Number of more black lollipops than yellow lollipops in percent
= 44% - 21%
= 9%

9% = 63

1% = 63 ÷ 9 = 7

Number of more black lollipops than silver lollipops
= 44% - 21%
= 23%
= 23 x 7
= 161

Answer(s): 161