Natalie and Tiffany collected beads. Natalie gave 30% of her beads to Tiffany and as a result, Tiffany's beads increased by 25%. If Natalie had 49 beads left, find the number of beads Tiffany should give to Natalie in the end so that both had an equal number of beads.

	Natalie	Tiffany	Comparing the change in Tiffany's beads
Before	10x1 = 10 u		4x3 = 12u
Change	- 3x1 = - 3 u	+ 3x1 = + 3 u	+ 1x3 = + 3 u
After	7x1 = 7 u		5x3 = 15 u

30% = ³⁰₁₀₀ = ³₁₀
25% = ²⁵₁₀₀ = ¹₄

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

7 u = 49

1 u = 49 ÷ 7 = 7

Number of beads that Tiffany had more than Natalie in the end
= 15 u - 7 u
= 8 u

Number of beads that Tiffany should give to Natalie so that both had an equal number of beads in the end
= 8 u ÷ 2
= 4 u
= 4 x 7
= 28

Answer(s): 28