Emma and Barbara collected beads. Emma gave 25% of her beads to Barbara and as a result, Barbara's beads increased by 30%. If Emma had 72 beads left, find the number of beads Barbara should give to Emma in the end so that both had an equal number of beads.

	Emma	Barbara	Comparing the change in Barbara's beads
Before	4x3 = 12 u		10x1 = 10u
Change	- 1x3 = - 3 u	+ 1x3 = + 3 u	+ 3x1 = + 3 u
After	3x3 = 9 u		13x1 = 13 u

25% = ²⁵₁₀₀ = ¹₄
30% = ³⁰₁₀₀ = ³₁₀

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

9 u = 72

1 u = 72 ÷ 9 = 8

Number of beads that Barbara had more than Emma in the end
= 13 u - 9 u
= 4 u

Number of beads that Barbara should give to Emma so that both had an equal number of beads in the end
= 4 u ÷ 2
= 2 u
= 2 x 8
= 16

Answer(s): 16