Anna and Will collect cards and coins. Will has 72 more coins than cards. Will has 5 times the number of cards Anna has, and Anna has 25% more coins than Will. After Anna gives Will all of her cards and Will gives Anna 75% of his coins, Will has 77 more cards than coins. Find the number of coins Anna has at first.

Anna		Will
Coins	Cards	Coins	Cards
6.25 u + 90	1 u	5 u + 72	5 u
+ 3.75 u + 54	- 1 u	- 3.75 u - 54	+ 1 u
10 u + 144	0	1.25 u + 18	6 u

100% + 25% = 125% 

125% x 5 u
= ¹²⁵₁₀₀ x 5 u
= 6.25 u

125% x 72
= ¹²⁵₁₀₀ x 72
= 90 

75% x 5 u
= ⁷⁵₁₀₀ x 5 u
= 3.75 u  

75% x 72 
= ⁷⁵₁₀₀ x 72
= 54 

If another 77 coins are given to Will, he will have equal number of coins and cards in the end.
6 u = 1.25 u + 18 + 77
6 u - 1.25 u = 95
4.75 u = 95

1 u = 95 ÷ 4.75 = 20

Number of coins that Anna has at first
= 6.25 u + 90
= 6.25 x 20 + 90
= 125 + 90
= 215
 
Answer(s): 215