Mrs Chan had a total of 132 yellow and pink tulips in the ratio of 8 : 3. After she had given away 6 times as many yellow tulips as pink tulips, the number of yellow and pink tulips left was in the ratio of 6 : 5. How many more yellow tulips than pink tulips did she give away?

	Yellow	Pink	Total
Before	8 b	3 b	11 b
Change	- 6 u	- 1 u
After	6 p	5 p

	Make p the same (1)x5 = (3)	Yellow (1)	Pink (2)	Make p the same (2)x6 = (4)
Before	480	96	36	216
Change	- 30 u	- 6 u	- 1 u	- 6 u
After	30 p	6 p	5 p	30 p

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

11 b = 132

1 b = 132 ÷ 11 = 12

Number of yellow tulips at first
= 8 b
= 8 x 12
= 96

Number of pink tulips at first
= 3 b
= 3 x 12
= 36

96 - 6 u = 6 p --- (1)

36 - 1 u = 5 p --- (2)

Make p the same.

(1)_x5 
480 - 30 u = 30 p --- (3)

(2)_x6 = (4)
216 - 6 u = 30 p --- (4)

(3) = (4)
480 - 30 u = 216 - 6 u
30 u - 6 u = 480 - 216
24 u = 264

1 u = 264 ÷ 24 = 11

Number of more yellow tulips than pink tulips that she gave away
= 6 u - 1 u
= 5 u
= 5 x 11
= 55

Answer(s): 55