Question 1152318

Use two equations in two variables to solve the application.

Two pairs of shoes and four pairs of socks cost $111, and three pairs of shoes and five pairs of socks cost $160. Find the cost of a pair of socks.
<pre>Let cost of 1 pair of shoes and 1 pair of socks be B and S, respectively
Then we get: 2B + 4S = 111 ------ eq (i)
Also, 3B + 5S = 160 ------ eq (ii)
B + S = 49_____B = 49 - S ----- Subtracting eq (i) from eq (ii) ----- eq (iii)
2(49 - S) + 4S = 111 ------ Substituting 49 - S for B in eq (i)
98 - 2S + 4S = 111
2S = 13
S, or cost of 1 pair of socks = {{{highlight_green(matrix(1,3, 13/2, "=", "$6.50"))}}}