In a box, there are sweets of 3 colours, grey, purple and blue. There are 88 more purple sweets than blue sweets. The number of blue sweets is ²₃ more than the grey sweets. Given that the number of blue sweets is 30% of the total number of sweets in the box, how many more purple sweets are there than grey sweets?

Grey sweets	Purple sweets	Blue sweets
	1 u + 88	1 u
3x6		5x6
70%		30%
18%	52%	30%

1 + ²₃ = ³₃ + ²₃ = ⁵₃

Yellow sweets : Purple sweets = 3 : 5

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

5 x 6 = 30%

Total number of grey sweets and purple sweets in percent
= 100% - 30%
= 70%

Number of purple sweets in percent
= 70% - 18%
= 52%

Number of more purple sweets than blue sweets in percent
= 52% - 18%
= 22%

22% = 88

1% = 88 ÷ 22 = 4

Number of more purple sweets than grey sweets
= 52% - 18%
= 34%
= 34 x 4
= 136

Answer(s): 136