Eric bought 126 blue and red balloons for a party. The number of red balloons was ⁴₅ times as many as the number of blue balloons. Eric used ¹₄ times as many red balloons as blue balloons and was left with twice as many red balloons as blue balloons. How many balloons did Eric have in the end?

	Red (1)	Blue (2)	Make b the same. (2)x2 = (3)
Before	56	70	140
Change	- 1 p	- 4 p	- 8 p
After	2 b	1 b	2 b

Number of red balloons that Eric bought at first = 4 u
Number of blue balloons that Eric bought at first = 5 u

Total number of balloons at first
= 4 u + 5 u
= 9 u

9 u = 126

1 u = 126 ÷ 9 = 14

Number of red balloons at first
= 4 u
= 4 x 14
= 56

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

56 - 1 p = 2 b --- (1)
70 - 4 p = 1 b --- (2)

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

(3) = (1)
140 - 8 p = 56 - 1 p
8 p - 1 p = 140 - 56 
7 p = 84

1 p = 84 ÷ 7 = 12

Number of balloons that Eric used
= 1 p + 4 p
= 5 p
= 5 x 12
= 60

Number of balloons that Eric had in the end
= 126 - 60
= 66

Answer(s): 66