Tim bought 162 blue and white balloons for a party. The number of white balloons was ⁴₅ times as many as the number of blue balloons. Tim used ¹₄ times as many white balloons as blue balloons and was left with thrice as many white balloons as blue balloons. How many balloons did Tim have in the end?

	White (1)	Blue (2)	Make b the same. (2)x3 = (3)
Before	72	90	270
Change	- 1 p	- 4 p	- 12 p
After	3 b	1 b	3 b

Number of white balloons that Tim bought at first = 4 u
Number of blue balloons that Tim bought at first = 5 u

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

9 u = 162

1 u = 162 ÷ 9 = 18

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

Number of blue balloons at first
= 5 u
= 5 x 18
= 90

72 - 1 p = 3 b --- (1)
90 - 4 p = 1 b --- (2)

(2)_x3
270 - 12 p = 3 b --- (3)

(3) = (1)
270 - 12 p = 72 - 1 p
12 p - 1 p = 270 - 72 
11 p = 198

1 p = 198 ÷ 11 = 18

Number of balloons that Tim used
= 1 p + 4 p
= 5 p
= 5 x 18
= 90

Number of balloons that Tim had in the end
= 162 - 90
= 72

Answer(s): 72