Nick bought 98 pink and blue balloons for a party. The number of blue balloons was ²₅ times as many as the number of pink balloons. Nick used ¹₄ times as many blue balloons as pink balloons and was left with twice as many blue balloons as pink balloons. How many balloons did Nick have in the end?

	Blue (1)	Pink (2)	Make b the same. (2)x2 = (3)
Before	28	70	140
Change	- 1 p	- 4 p	- 8 p
After	2 b	1 b	2 b

Number of blue balloons that Nick bought at first = 2 u
Number of pink balloons that Nick bought at first = 5 u

Total number of balloons at first
= 2 u + 5 u
= 7 u

7 u = 98

1 u = 98 ÷ 7 = 14

Number of blue balloons at first
= 2 u
= 2 x 14
= 28

Number of pink balloons at first
= 5 u
= 5 x 14
= 70

28 - 1 p = 2 b --- (1)
70 - 4 p = 1 b --- (2)

(2)_x2
140 - 8 p = 2 b --- (3)

(3) = (1)
140 - 8 p = 28 - 1 p
8 p - 1 p = 140 - 28 
7 p = 112

1 p = 112 ÷ 7 = 16

Number of balloons that Nick used
= 1 p + 4 p
= 5 p
= 5 x 16
= 80

Number of balloons that Nick had in the end
= 98 - 80
= 18

Answer(s): 18