Victoria and Jen collected beads. Victoria gave 30% of her beads to Jen and as a result, Jen's beads increased by 10%. If Victoria had 84 beads left, find the number of beads Jen should give to Victoria in the end so that both had an equal number of beads.

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

7 u = 84

1 u = 84 ÷ 7 = 12

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

Number of beads that Jen should give to Victoria so that both had an equal number of beads in the end
= 26 u ÷ 2
= 13 u
= 13 x 12
= 156

Answer(s): 156