Flynn bought 80 pink and white balloons for a party. The number of white balloons was ³₅ times as many as the number of pink balloons. Flynn used ¹₃ times as many white balloons as pink balloons and was left with twice as many white balloons as pink balloons. How many balloons did Flynn have in the end?

	White (1)	Pink (2)	Make b the same. (2)x2 = (3)
Before	30	50	100
Change	- 1 p	- 3 p	- 6 p
After	2 b	1 b	2 b

Number of white balloons that Flynn bought at first = 3 u
Number of pink balloons that Flynn bought at first = 5 u

Total number of balloons at first
= 3 u + 5 u
= 8 u

8 u = 80

1 u = 80 ÷ 8 = 10

Number of white balloons at first
= 3 u
= 3 x 10
= 30

Number of pink balloons at first
= 5 u
= 5 x 10
= 50

30 - 1 p = 2 b --- (1)
50 - 3 p = 1 b --- (2)

(2)_x2
100 - 6 p = 2 b --- (3)

(3) = (1)
100 - 6 p = 30 - 1 p
6 p - 1 p = 100 - 30 
5 p = 70

1 p = 70 ÷ 5 = 14

Number of balloons that Flynn used
= 1 p + 3 p
= 4 p
= 4 x 14
= 56

Number of balloons that Flynn had in the end
= 80 - 56
= 24

Answer(s): 24