In a container, there are candy canes of 3 colours, red, gold and yellow. There are 320 less yellow candy canes than gold candy canes. The number of yellow candy canes is ¹₅ more than the red candy canes. Given that the number of yellow candy canes is 24% of the total number of candy canes in the container, how many less red candy canes are there than gold candy canes?

Red candy canes	Gold candy canes	Yellow candy canes
	1 u + 320	1 u
5x4		6x4
76%		24%
20%	56%	24%

1 + ¹₅ = ⁵₅ + ¹₅ = ⁶₅

Yellow candy canes : Purple candy canes = 5 : 6

The number of yellow candy canes is repeated.  Make the number of yellow candy canes the same.

6 x 4 = 24%

Total number of red candy canes and gold candy canes in percent
= 100% - 24%
= 76%

Number of gold candy canes in percent
= 76% - 20%
= 56%

Number of more gold candy canes than yellow candy canes in percent
= 56% - 20%
= 32%

32% = 320

1% = 320 ÷ 32 = 10

Number of less red candy canes than gold candy canes
= 56% - 20%
= 36%
= 36 x 10
= 360

Answer(s): 360