Pamela and Fiona collected coins. Pamela gave 30% of her coins to Fiona and as a result, Fiona's coins increased by 10%. If Pamela had 49 coins left, find the number of coins Fiona should give to Pamela in the end so that both had an equal number of coins.

	Pamela	Fiona	Comparing the change in Fiona's coins
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 coins that Fiona had is repeated.  Make the increase in the number of coins that Fiona had the same. LCM of 3 and 1 = 3

7 u = 49

1 u = 49 ÷ 7 = 7

Number of coins that Fiona had more than Pamela in the end
= 33 u - 7 u
= 26 u

Number of coins that Fiona should give to Pamela so that both had an equal number of coins in the end
= 26 u ÷ 2
= 13 u
= 13 x 7
= 91

Answer(s): 91