Henry bought 144 white and yellow balloons for a party. The number of yellow balloons was ⁴₅ times as many as the number of white balloons. Henry used ¹₄ times as many yellow balloons as white balloons and was left with thrice as many yellow balloons as white balloons. How many balloons did Henry have in the end?

	Yellow (1)	White (2)	Make b the same. (2)x3 = (3)
Before	64	80	240
Change	- 1 p	- 4 p	- 12 p
After	3 b	1 b	3 b

Number of yellow balloons that Henry bought at first = 4 u
Number of white balloons that Henry bought at first = 5 u

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

9 u = 144

1 u = 144 ÷ 9 = 16

Number of yellow balloons at first
= 4 u
= 4 x 16
= 64

Number of white balloons at first
= 5 u
= 5 x 16
= 80

64 - 1 p = 3 b --- (1)
80 - 4 p = 1 b --- (2)

(2)_x3
240 - 12 p = 3 b --- (3)

(3) = (1)
240 - 12 p = 64 - 1 p
12 p - 1 p = 240 - 64 
11 p = 176

1 p = 176 ÷ 11 = 16

Number of balloons that Henry used
= 1 p + 4 p
= 5 p
= 5 x 16
= 80

Number of balloons that Henry had in the end
= 144 - 80
= 64

Answer(s): 64