Box S contains 5 pink beads and 6 yellow beads. Box T contains 24 pink beads and 8 yellow beads. How many yellow beads and pink beads must be moved from Box T to put into Box S so that 50% of the beads in Box A are pink and 80% of the beads in Box T are pink?

	Box S		Box T
	Pink beads	Yellow beads	Pink beads	Yellow beads
Before	5	6	24	8
Change	+ ?	+ ?	- ?	- ?
After	1 u	1 u	4 p	1 p

50% = ⁵⁰₁₀₀ = 12

80% = ⁸⁰₁₀₀ = 45

Number of pink beads = 5 + 24 = 29 

Number of yellow beads = 6 + 8 = 14 

1 u + 4 p = 29 --- (1)

1 u + 1 p = 14 ---(2)

(1) - (2)
(1 u + 4 p) - (1 u + 1 p) = 29 - 14
4 p - 1 p = 15
3 p = 15

1 p = 15 ÷ 3 = 5

From (2):
1 u + 1 p = 14
1 u + 1 x 5 = 14
1 u + 5 = 14

1 u = 14 - 5 = 9

Number of yellow beads to be moved from Box T to Box S
= 8 - 1 p
= 8 - 1 x 5
= 8 - 5
= 3

Number of pink beads to be moved from Box T to Box S
= 1 u - 5
= 9 - 5
= 4

Total number of yellow and pink beads to be moved from Box T to Box S
= 3 + 4
= 7

Answer(s): 7