Zeph bought 120 yellow and green balloons for a party. The number of green balloons was ³₅ times as many as the number of yellow balloons. Zeph used ¹₄ times as many green balloons as yellow balloons and was left with twice as many green balloons as yellow balloons. How many balloons did Zeph have in the end?

	Green (1)	Yellow (2)	Make b the same. (2)x2 = (3)
Before	45	75	150
Change	- 1 p	- 4 p	- 8 p
After	2 b	1 b	2 b

Number of green balloons that Zeph bought at first = 3 u
Number of yellow balloons that Zeph bought at first = 5 u

Total number of balloons at first
= 3 u + 5 u
= 8 u

8 u = 120

1 u = 120 ÷ 8 = 15

Number of green balloons at first
= 3 u
= 3 x 15
= 45

Number of yellow balloons at first
= 5 u
= 5 x 15
= 75

45 - 1 p = 2 b --- (1)
75 - 4 p = 1 b --- (2)

(2)_x2
150 - 8 p = 2 b --- (3)

(3) = (1)
150 - 8 p = 45 - 1 p
8 p - 1 p = 150 - 45 
7 p = 105

1 p = 105 ÷ 7 = 15

Number of balloons that Zeph used
= 1 p + 4 p
= 5 p
= 5 x 15
= 75

Number of balloons that Zeph had in the end
= 120 - 75
= 45

Answer(s): 45