Yoko and Tina had a total of 112 beads. Tina gave ¹₄ of her beads to Yoko. In return, Yoko gave ¹₈ of the total number of beads that she had to Tina. In the end, each girl had the same number of beads. How many beads did Yoko have at first?

	Yoko	Tina	Total
Before 1	?	4 u	112
Change 1	+ 1 u	- 1 u
After 1	64	3 u	112
Before 2	8 p	3 u	112
Change 2	- 1 p	+ 1 p
After 2	7 p (56)	56	112

Since Tina gave some beads to Yoko and Yoko then gave some beads to Tina, it is an internal transfer of beads between the two girls. So, the total number of beads remains unchanged.

Number of beads that Tina and Yoko each had in the end is the same.

Number of beads that Yoko had in the end
= 112 ÷ 2
= 56

Number of beads that Yoko had in the end = 7 p

7 p = 56

1 p = 56 ÷ 7 = 8

Number of beads that Yoko had after receiving some beads from Tina
= 8 p
= 8 x 8
= 64

Number of beads that Tina had after giving to Yoko
= 112 - 64
= 48

3 u = 48

1 u = 48 ÷ 3 = 16

Number of beads that Tina had at first
= 4 u
= 4 x 16
= 64

Number of beads that Yoko had at first
= 112 - 64
= 48

Answer(s): 48