Container Q contains 12 purple beads and 6 yellow beads. Container R contains 26 purple beads and 14 yellow beads. How many yellow beads and purple beads must be moved from Container R to put into Container Q so that 50% of the beads in Container A are purple and 80% of the beads in Container R are purple?

	Container Q		Container R
	Purple beads	Yellow beads	Purple beads	Yellow beads
Before	12	6	26	14
Change	+ ?	+ ?	- ?	- ?
After	1 u	1 u	4 p	1 p

50% = ⁵⁰₁₀₀ = 12

80% = ⁸⁰₁₀₀ = 45

Number of purple beads = 12 + 26 = 38 

Number of yellow beads = 6 + 14 = 20 

1 u + 4 p = 38 --- (1)

1 u + 1 p = 20 ---(2)

(1) - (2)
(1 u + 4 p) - (1 u + 1 p) = 38 - 20
4 p - 1 p = 18
3 p = 18

1 p = 18 ÷ 3 = 6

From (2):
1 u + 1 p = 20
1 u + 1 x 6 = 20
1 u + 6 = 20

1 u = 20 - 6 = 14

Number of yellow beads to be moved from Container R to Container Q
= 14 - 1 p
= 14 - 1 x 6
= 14 - 6
= 8

Number of purple beads to be moved from Container R to Container Q
= 1 u - 12
= 14 - 12
= 2

Total number of yellow and purple beads to be moved from Container R to Container Q
= 8 + 2
= 10

Answer(s): 10