Fiona bought some socks that cost $4.95 for each pair and some belts that cost $6.55 each. fiona spent $27.95 in all. let a represent the number of pairs of socks purchased and b the number of belts purchased.

The question lacks the total number of socks and belts altogether. Thsi value is necessary so that we can create another equation to solve the unknowns.

if assumed that a = b, the answer, a = b = 2.43 will not make sense since you cannot buy 43% of a pair of socks. Completely define the conditions so that the answer can be obtained. 

by trial and error, 3 pair of socks and 2 belts would be a sensible answer