Usha and Perry collect beads and coins. Perry has 40 less beads than coins. Perry has 5 times the number of beads Usha has, and Usha has 30% more coins than Perry. After Usha gives Perry all of her beads and Perry gives Usha 75% of his coins, Perry has 85 more beads than coins. Find the number of coins Usha has at first.

Usha		Perry
Coins	Beads	Coins	Beads
6.5 u + 52	1 u	5 u + 40	5 u
+ 3.75 u + 30	- 1 u	- 3.75 u - 30	+ 1 u
10.25 u + 82	0	1.25 u + 10	6 u

100%+ 30% = 130% 

130% x 5 u
= ¹³⁰₁₀₀ x 5 u
= 6.5 u

130% x 40
= ¹³⁰₁₀₀ x 40
= 52 

75% x 5 u
= ⁷⁵₁₀₀ x 5 u
= 3.75 u  

75% x 40 
= ⁷⁵₁₀₀ x 40
= 30 

If another 85 coins are given to Perry, he will have equal number of coins and beads in the end.
6 u = 1.25 u + 10 + 85
6 u - 1.25 u = 95
4.75 u = 95

1 u = 95 ÷ 4.75 = 20

Number of coins that Usha has at first
= 6.5 u + 52
= 6.5 x 20 + 52
= 130 + 52
= 182
 
Answer(s): 182