70% of the lollipops in Packet E were cherry lollipops and the rest were banana lollipops. Packet F had 25% more cherry lollipops than Packet E and four times as many lollipops than the total number of lollipops in Packet E. Find the percentage of the banana lollipops in Packet F that would need to be transferred into Packet E, so that there were an equal number of cherry and banana lollipops in Packet E.

	Packet E		Packet F
	Cherry	Banana	Cherry	Banana
	10 u		40 u
Before	7 u	3 u	8.75 u	31.25 u
Change		+ 4 u		- 4 u
After	7 u	7 u	8.75 u	27.25 u

70% = ⁷⁰₁₀₀ = ⁷₁₀
100 %+ 25% = 125%

 Total number of lollipops in Packet E
= 7 u + 3 u
= 10 u

Total number of lollipops in Packet F
= 4 x 10 u 
= 40 u

Number of cherry lollipops in Packet F
= 125% x 7 u
=  ¹²⁵₁₀₀ x 7 u
= 8.75 u

Number of cherry lollipops in Packet F
= 40 u - 8.75 u
= 31.25 u

Number of banana lollipops to be transferred from Packet F to Packet E
= 7 u - 3 u
= 4 u

Percentage of lollipops to be transferred from Packet F
= ⁴_31.25 x 100%
= 12.8%

Answer(s): 12.8%