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

	Green (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 green balloons that Japheth bought at first = 2 u
Number of pink balloons that Japheth 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 green 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 Japheth used
= 1 p + 4 p
= 5 p
= 5 x 16
= 80

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

Answer(s): 18