Caden bought 140 silver and yellow balloons for a party. The number of yellow balloons was ²₅ times as many as the number of silver balloons. Caden used ¹₃ times as many yellow balloons as silver balloons and was left with twice as many yellow balloons as silver balloons. How many balloons did Caden have in the end?

	Yellow (1)	Silver (2)	Make b the same. (2)x2 = (3)
Before	40	100	200
Change	- 1 p	- 3 p	- 6 p
After	2 b	1 b	2 b

Number of yellow balloons that Caden bought at first = 2 u
Number of silver balloons that Caden bought at first = 5 u

Total number of balloons at first
= 2 u + 5 u
= 7 u

7 u = 140

1 u = 140 ÷ 7 = 20

Number of yellow balloons at first
= 2 u
= 2 x 20
= 40

Number of silver balloons at first
= 5 u
= 5 x 20
= 100

40 - 1 p = 2 b --- (1)
100 - 3 p = 1 b --- (2)

(2)_x2
200 - 6 p = 2 b --- (3)

(3) = (1)
200 - 6 p = 40 - 1 p
6 p - 1 p = 200 - 40 
5 p = 160

1 p = 160 ÷ 5 = 32

Number of balloons that Caden used
= 1 p + 3 p
= 4 p
= 4 x 32
= 128

Number of balloons that Caden had in the end
= 140 - 128
= 12

Answer(s): 12