Mrs Kong had a total of 65 white and pink daisies in the ratio of 8 : 5. After she had given away 3 times as many white daisies as pink daisies, the number of white and pink daisies left was in the ratio of 5 : 4. How many more white daisies than pink daisies did she give away?

	White	Pink	Total
Before	8 b	5 b	13 b
Change	- 3 u	- 1 u
After	5 p	4 p

	Make p the same (1)x4 = (3)	White (1)	Pink (2)	Make p the same (2)x5 = (4)
Before	160	40	25	125
Change	- 12 u	- 3 u	- 1 u	- 5 u
After	20 p	5 p	4 p	20 p

Number of daisies at first
= 8 b + 5 b
= 13 b

13 b = 65

1 b = 65 ÷ 13 = 5

Number of white daisies at first
= 8 b
= 8 x 5
= 40

Number of pink daisies at first
= 5 b
= 5 x 5
= 25

40 - 3 u = 5 p --- (1)

25 - 1 u = 4 p --- (2)

Make p the same.

(1)_x4 
160 - 12 u = 20 p --- (3)

(2)_x5 = (4)
125 - 5 u = 20 p --- (4)

(3) = (4)
160 - 12 u = 125 - 5 u
12 u - 5 u = 160 - 125
7 u = 35

1 u = 35 ÷ 7 = 5

Number of more white daisies than pink daisies that she gave away
= 3 u - 1 u
= 2 u
= 2 x 5
= 10

Answer(s): 10