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

	Jen	Natalie	Comparing the change in Natalie's beads
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 beads that Natalie had is repeated.  Make the increase in the number of beads that Natalie had the same. LCM of 3 and 1 = 3

7 u = 35

1 u = 35 ÷ 7 = 5

Number of beads that Natalie had more than Jen in the end
= 33 u - 7 u
= 26 u

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

Answer(s): 65