Tina and Victoria collected postcards. Tina gave 30% of her postcards to Victoria and as a result, Victoria's postcards increased by 10%. If Tina had 35 postcards left, find the number of postcards Victoria should give to Tina in the end so that both had an equal number of postcards.

	Tina	Victoria	Comparing the change in Victoria's postcards
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 postcards that Victoria had is repeated.  Make the increase in the number of postcards that Victoria had the same. LCM of 3 and 1 = 3

7 u = 35

1 u = 35 ÷ 7 = 5

Number of postcards that Victoria had more than Tina in the end
= 33 u - 7 u
= 26 u

Number of postcards that Victoria should give to Tina so that both had an equal number of postcards in the end
= 26 u ÷ 2
= 13 u
= 13 x 5
= 65

Answer(s): 65