Daniel bought 154 brown and green balloons for a party. The number of green balloons was ⁴₇ times as many as the number of brown balloons. Daniel used ¹₂ times as many green balloons as brown balloons and was left with four times as many green balloons as brown balloons. How many balloons did Daniel have in the end?

	Green (1)	Brown (2)	Make b the same. (2)x4 = (3)
Before	56	98	392
Change	- 1 p	- 2 p	- 8 p
After	4 b	1 b	4 b

Number of green balloons that Daniel bought at first = 4 u
Number of brown balloons that Daniel bought at first = 7 u

Total number of balloons at first
= 4 u + 7 u
= 11 u

11 u = 154

1 u = 154 ÷ 11 = 14

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

Number of brown balloons at first
= 7 u
= 7 x 14
= 98

56 - 1 p = 4 b --- (1)
98 - 2 p = 1 b --- (2)

(2)_x4
392 - 8 p = 4 b --- (3)

(3) = (1)
392 - 8 p = 56 - 1 p
8 p - 1 p = 392 - 56 
7 p = 336

1 p = 336 ÷ 7 = 48

Number of balloons that Daniel used
= 1 p + 2 p
= 3 p
= 3 x 48
= 144

Number of balloons that Daniel had in the end
= 154 - 144
= 10

Answer(s): 10