Mrs Ong had a total of 128 pink and white tulips in the ratio of 5 : 3. After she had given away 4 times as many pink tulips as white tulips, the number of pink and white tulips left was in the ratio of 6 : 5. How many more pink tulips than white tulips did she give away?

	Pink	White	Total
Before	5 b	3 b	8 b
Change	- 4 u	- 1 u
After	6 p	5 p

	Make p the same (1)x5 = (3)	Pink (1)	White (2)	Make p the same (2)x6 = (4)
Before	400	80	48	288
Change	- 20 u	- 4 u	- 1 u	- 6 u
After	30 p	6 p	5 p	30 p

Number of tulips at first
= 5 b + 3 b
= 8 b

8 b = 128

1 b = 128 ÷ 8 = 16

Number of pink tulips at first
= 5 b
= 5 x 16
= 80

Number of white tulips at first
= 3 b
= 3 x 16
= 48

80 - 4 u = 6 p --- (1)

48 - 1 u = 5 p --- (2)

Make p the same.

(1)_x5 
400 - 20 u = 30 p --- (3)

(2)_x6 = (4)
288 - 6 u = 30 p --- (4)

(3) = (4)
400 - 20 u = 288 - 6 u
20 u - 6 u = 400 - 288
14 u = 112

1 u = 112 ÷ 14 = 8

Number of more pink tulips than white tulips that she gave away
= 4 u - 1 u
= 3 u
= 3 x 8
= 24

Answer(s): 24