Roshel and Xandra collected buttons. Roshel gave 60% of her buttons to Xandra and as a result, Xandra's buttons increased by 20%. If Roshel had 14 buttons left, find the number of buttons Xandra should give to Roshel in the end so that both had an equal number of buttons.

	Roshel	Xandra	Comparing the change in Xandra's buttons
Before	5x1 = 5 u		5x3 = 15u
Change	- 3x1 = - 3 u	+ 3x1 = + 3 u	+ 1x3 = + 3 u
After	2x1 = 2 u		6x3 = 18 u

60% = ⁶⁰₁₀₀ = ³₅
20% = ²⁰₁₀₀ = ¹₅

The increase in the number of buttons that Xandra had is repeated.  Make the increase in the number of buttons that Xandra had the same. LCM of 3 and 1 = 3

2 u = 14

1 u = 14 ÷ 2 = 7

Number of buttons that Xandra had more than Roshel in the end
= 18 u - 2 u
= 16 u

Number of buttons that Xandra should give to Roshel so that both had an equal number of buttons in the end
= 16 u ÷ 2
= 8 u
= 8 x 7
= 56

Answer(s): 56