Jenson bought 126 grey and brown balloons for a party. The number of brown balloons was ⁴₅ times as many as the number of grey balloons. Jenson used ¹₄ times as many brown balloons as grey balloons and was left with thrice as many brown balloons as grey balloons. How many balloons did Jenson have in the end?

	Brown (1)	Grey (2)	Make b the same. (2)x3 = (3)
Before	56	70	210
Change	- 1 p	- 4 p	- 12 p
After	3 b	1 b	3 b

Number of brown balloons that Jenson bought at first = 4 u
Number of grey balloons that Jenson 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 brown balloons at first
= 4 u
= 4 x 14
= 56

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

56 - 1 p = 3 b --- (1)
70 - 4 p = 1 b --- (2)

(2)_x3
210 - 12 p = 3 b --- (3)

(3) = (1)
210 - 12 p = 56 - 1 p
12 p - 1 p = 210 - 56 
11 p = 154

1 p = 154 ÷ 11 = 14

Number of balloons that Jenson used
= 1 p + 4 p
= 5 p
= 5 x 14
= 70

Number of balloons that Jenson had in the end
= 126 - 70
= 56

Answer(s): 56