Question

We bought 3 pairs of socks and 2 handkerchiefs for $ 1.45 and, yesterday, 2 pairs of stocking and 5 handkerchiefs for $ 1.75. Determine the price of a pair of socks and a handkerchief

Answer 1

Equations for the numbers of pairs of socks (s) and handkerchiefs (h) can be written as
  3s +2h = 1.45
  2s +5h = 1.75

These can be solved by any of your favorite means to find
  s = 3.75/11 ≈ 0.341
  h = 2.35/11 ≈ .214

The price of a pair of socks and a handerchief is $0.34 +0.21 = $0.55.