Mrs Chong had a total of 154 pink and yellow lilies in the ratio of 8 : 3. After she had given away 5 times as many pink lilies as yellow lilies, the number of pink and yellow lilies left was in the ratio of 3 : 2. How many more pink lilies than yellow lilies did she give away?

	Pink	Yellow	Total
Before	8 b	3 b	11 b
Change	- 5 u	- 1 u
After	3 p	2 p

	Make p the same (1)x2 = (3)	Pink (1)	Yellow (2)	Make p the same (2)x3 = (4)
Before	224	112	42	126
Change	- 10 u	- 5 u	- 1 u	- 3 u
After	6 p	3 p	2 p	6 p

Number of lilies at first
= 8 b + 3 b
= 11 b

11 b = 154

1 b = 154 ÷ 11 = 14

Number of pink lilies at first
= 8 b
= 8 x 14
= 112

Number of yellow lilies at first
= 3 b
= 3 x 14
= 42

112 - 5 u = 3 p --- (1)

42 - 1 u = 2 p --- (2)

Make p the same.

(1)_x2 
224 - 10 u = 6 p --- (3)

(2)_x3 = (4)
126 - 3 u = 6 p --- (4)

(3) = (4)
224 - 10 u = 126 - 3 u
10 u - 3 u = 224 - 126
7 u = 98

1 u = 98 ÷ 7 = 14

Number of more pink lilies than yellow lilies that she gave away
= 5 u - 1 u
= 4 u
= 4 x 14
= 56

Answer(s): 56