Pamela and Perry collect buttons and coins. Perry has 76 more coins than buttons. Perry has 3 times the number of buttons Pamela has, and Pamela has 25% more coins than Perry. After Pamela gives Perry all of her buttons and Perry gives Pamela 75% of his coins, Perry has 33 more buttons than coins. Find the number of coins Pamela has at first.

Pamela		Perry
Coins	Buttons	Coins	Buttons
3.75 u + 95	1 u	3 u + 76	3 u
+ 2.25 u + 57	- 1 u	- 2.25 u - 57	+ 1 u
6 u + 152	0	0.75 u + 19	4 u

100% + 25% = 125% 

125% x 3 u
= ¹²⁵₁₀₀ x 3 u
= 3.75 u

125% x 76
= ¹²⁵₁₀₀ x 76
= 95 

75% x 3 u
= ⁷⁵₁₀₀ x 3 u
= 2.25 u  

75% x 76 
= ⁷⁵₁₀₀ x 76
= 57 

If another 33 coins are given to Perry, he will have equal number of coins and buttons in the end.
4 u = 0.75 u + 19 + 33
4 u - 0.75 u = 52
3.25 u = 52

1 u = 52 ÷ 3.25 = 16

Number of coins that Pamela has at first
= 3.75 u + 95
= 3.75 x 16 + 95
= 60 + 95
= 155
 
Answer(s): 155