Jean and Jaslyn collected cards. Jean gave 50% of her cards to Jaslyn and as a result, Jaslyn's cards increased by 30%. If Jean had 33 cards left, find the number of cards Jaslyn should give to Jean in the end so that both had an equal number of cards.

	Jean	Jaslyn	Comparing the change in Jaslyn'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 Jaslyn had is repeated.  Make the increase in the number of cards that Jaslyn had the same. LCM of 1 and 3 = 3

3 u = 33

1 u = 33 ÷ 3 = 11

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

Number of cards that Jaslyn should give to Jean so that both had an equal number of cards in the end
= 10 u ÷ 2
= 5 u
= 5 x 11
= 55

Answer(s): 55