Flynn bought 198 yellow and white balloons for a party. The number of white balloons was ⁴₇ times as many as the number of yellow balloons. Flynn used ¹₂ times as many white balloons as yellow balloons and was left with five times as many white balloons as yellow balloons. How many balloons did Flynn have in the end?

	White (1)	Yellow (2)	Make b the same. (2)x5 = (3)
Before	72	126	630
Change	- 1 p	- 2 p	- 10 p
After	5 b	1 b	5 b

Number of white balloons that Flynn bought at first = 4 u
Number of yellow balloons that Flynn bought at first = 7 u

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

11 u = 198

1 u = 198 ÷ 11 = 18

Number of white balloons at first
= 4 u
= 4 x 18
= 72

Number of yellow balloons at first
= 7 u
= 7 x 18
= 126

72 - 1 p = 5 b --- (1)
126 - 2 p = 1 b --- (2)

(2)_x5
630 - 10 p = 5 b --- (3)

(3) = (1)
630 - 10 p = 72 - 1 p
10 p - 1 p = 630 - 72 
9 p = 558

1 p = 558 ÷ 9 = 62

Number of balloons that Flynn used
= 1 p + 2 p
= 3 p
= 3 x 62
= 186

Number of balloons that Flynn had in the end
= 198 - 186
= 12

Answer(s): 12