A ranch has both horses and ponies. Exactly 5/7 of the ponies have horseshoes, and exactly 2/3 of the ponies with horseshoes are from Iceland. If there are 3 more horses than ponies, what is the minimum possible combined number of horses and ponies on the ranch?  Pick one:
A) 33
B) 37
C) 41
D) 45
E) 49
5/7*P are ponies with horseshoes, so P is a multiple of 7.   2/3*5/7*P = 10/21*P are Icelandic ponies with horseshoes, so P is a multiple of 21.   The minimum value of P is 21. Then H = P+3 = 24.   The minimum number of horses and ponies is 45.   The answer is 45.
<result>D</result>
A ranch has both horses and ponies. Exactly 5/7 of the ponies have horseshoes, and exactly 2/3 of the ponies with horseshoes are from Iceland. If there are 3 more horses than ponies, what is the minimum possible combined number of horses and ponies on the ranch?