Emma has 30% as many beads as Lucy. Lucy has 140% as many beads as Tina. If Lucy gives 50 beads to Tina, both will then have an equal number of beads. Find the average number of beads the three of them have.

Emma	Lucy	Tina
3x7	10x7
	7x10	5x10
21 u	70 u	50 u

30% = ³⁰₁₀₀ = ³₁₀
140% = ¹⁴⁰₁₀₀= ⁷₅

The number of beads that Emma has is repeated.  Make the number of beads that Emma has the same. LCM of 10 and 7 is 70.

	Lucy	Tina	Total
Before	70 u	50 u	120 u
Change	- 10 u	+ 10 u
After	60 u	60 u	120 u

Total number of beads that Lucy and Tina have
= 70 u + 50 u
= 120 u

After Lucy gives to Tina, both of them will have the same number of beads. 

The total number of beads that Lucy and Tina have remains unchanged.

Number of beads that each of them will have
= 120 u ÷ 2
= 60 u

Number of beads that Lucy gives to Tina
= 70 u - 60 u
= 10 u

10 u = 50

1 u = 50 ÷ 10 = 5

Total number of beads that three of them have
= 120 u + 21 u
= 141 u

Average number of beads that each of them have
= 141 u ÷ 3
= 47 u
= 47 x 5
= 235

Answer(s): 235