In a box, there are sweets of 3 colours, red, grey and green. There are 160 less green sweets than grey sweets. The number of green sweets is ¹₅ more than the red sweets. Given that the number of green sweets is 24% of the total number of sweets in the box, how many less red sweets are there than grey sweets?

Red sweets	Grey sweets	Green sweets
	1 u + 160	1 u
5x4		6x4
76%		24%
20%	56%	24%

1 + ¹₅ = ⁵₅ + ¹₅ = ⁶₅

Yellow sweets : Purple sweets = 5 : 6

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

6 x 4 = 24%

Total number of red sweets and grey sweets in percent
= 100% - 24%
= 76%

Number of grey sweets in percent
= 76% - 20%
= 56%

Number of more grey sweets than green sweets in percent
= 56% - 20%
= 32%

32% = 160

1% = 160 ÷ 32 = 5

Number of less red sweets than grey sweets
= 56% - 20%
= 36%
= 36 x 5
= 180

Answer(s): 180