Kylie and Marion collected cards. Kylie gave 30% of her cards to Marion and as a result, Marion's cards increased by 10%. If Kylie had 56 cards left, find the number of cards Marion should give to Kylie in the end so that both had an equal number of cards.

	Kylie	Marion	Comparing the change in Marion's cards
Before	10x1 = 10 u		10x3 = 30u
Change	- 3x1 = - 3 u	+ 3x1 = + 3 u	+ 1x3 = + 3 u
After	7x1 = 7 u		11x3 = 33 u

30% = ³⁰₁₀₀ = ³₁₀
10% = ¹⁰₁₀₀ = ¹₁₀

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

7 u = 56

1 u = 56 ÷ 7 = 8

Number of cards that Marion had more than Kylie in the end
= 33 u - 7 u
= 26 u

Number of cards that Marion should give to Kylie so that both had an equal number of cards in the end
= 26 u ÷ 2
= 13 u
= 13 x 8
= 104

Answer(s): 104