In a box, there are lollipops of 3 colours, green, yellow and gold. There are 224 more yellow lollipops than gold lollipops. The number of gold lollipops is ¹₅ more than the green lollipops. Given that the number of gold lollipops is 24% of the total number of lollipops in the box, how many more yellow lollipops are there than green lollipops?

Green lollipops	Yellow lollipops	Gold lollipops
	1 u + 224	1 u
5x4		6x4
76%		24%
20%	56%	24%

1 + ¹₅ = ⁵₅ + ¹₅ = ⁶₅

Yellow lollipops : Purple lollipops = 5 : 6

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

6 x 4 = 24%

Total number of green lollipops and yellow lollipops in percent
= 100% - 24%
= 76%

Number of yellow lollipops in percent
= 76% - 20%
= 56%

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

32% = 224

1% = 224 ÷ 32 = 7

Number of more yellow lollipops than green lollipops
= 56% - 20%
= 36%
= 36 x 7
= 252

Answer(s): 252