Yoko and Owen collect beads and coins. Owen has 80 less beads than coins. Owen has 5 times the number of beads Yoko has, and Yoko has 25% more coins than Owen. After Yoko gives Owen all of her beads and Owen gives Yoko 70% of his coins, Owen has 48 more beads than coins. Find the number of coins Yoko has at first.

Yoko		Owen
Coins	Beads	Coins	Beads
6.25 u + 100	1 u	5 u + 80	5 u
+ 3.5 u + 56	- 1 u	- 3.5 u - 56	+ 1 u
9.75 u + 156	0	1.5 u + 24	6 u

100%+ 25% = 125% 

125% x 5 u
= ¹²⁵₁₀₀ x 5 u
= 6.25 u

125% x 80
= ¹²⁵₁₀₀ x 80
= 100 

70% x 5 u
= ⁷⁰₁₀₀ x 5 u
= 3.5 u  

70% x 80 
= ⁷⁰₁₀₀ x 80
= 56 

If another 48 coins are given to Owen, he will have equal number of coins and beads in the end.
6 u = 1.5 u + 24 + 48
6 u - 1.5 u = 72
4.5 u = 72

1 u = 72 ÷ 4.5 = 16

Number of coins that Yoko has at first
= 6.25 u + 100
= 6.25 x 16 + 100
= 100 + 100
= 200
 
Answer(s): 200