Xandra and Julie collected cards. Xandra gave 50% of her cards to Julie and as a result, Julie's cards increased by 30%. If Xandra had 27 cards left, find the number of cards Julie should give to Xandra in the end so that both had an equal number of cards.

	Xandra	Julie	Comparing the change in Julie's cards
Before	2x3 = 6 u		10x1 = 10u
Change	- 1x3 = - 3 u	+ 1x3 = + 3 u	+ 3x1 = + 3 u
After	1x3 = 3 u		13x1 = 13 u

50% = ⁵⁰₁₀₀ = ¹₂
30% = ³⁰₁₀₀ = ³₁₀

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

3 u = 27

1 u = 27 ÷ 3 = 9

Number of cards that Julie had more than Xandra in the end
= 13 u - 3 u
= 10 u

Number of cards that Julie should give to Xandra so that both had an equal number of cards in the end
= 10 u ÷ 2
= 5 u
= 5 x 9
= 45

Answer(s): 45